Q&A for How to Calculate a Square Root by Hand

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Is 28 a perfect number?

Donagan

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Yes. A "perfect" number is a positive integer which is the sum of all of its positive divisors (except itself). Thus, 28 = 1 + 2 + 4 + 7 + 14.

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What is the square root of 0.000121?

Community Answer

.011. If you are calculating it by hand, here's what to do: 121's sqrt is 11. To get .000121, you simply find an amount of 0's after the decimal point and the number 11 afterwards. Then multiply by itself. .011*.011= .000121.

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Question

Can I write the cube root of x as (1/x)^1/3?

Donagan

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No, it's (x)^1/3.

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What is the square root of negative eight?

Donagan

Top Answerer

It is the "imaginary" number 2i√2.

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How do I solve the BODMAS rule?

Donagan

Top Answerer

BODMAS is an acronym to help you remember the proper order of operations in evaluating an algebraic expression. B means "brackets": do everything inside brackets, braces or parentheses first; O means "orders" (powers and roots); DM means "divide and multiply" (left to right); and finally, AS means "add and subtract" (also left to right).

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What is the square root of 169?

Donagan

Top Answerer

√169 = 13.

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Question

How do I solve 3.5^3/2?

Donagan

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First cube 3.5, then find the square root of that number.

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Question

Can you provide some quicker and easier methods for when an exam is in two hours, not two days?

Community Answer

Take a quiz on the internet regarding about that topic. Try to solve examples given by your instructor.

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Question

What is the square root of 196?

Donagan

Top Answerer

14.

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Question

How I can solve square roots in an easier way?

Donagan

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Use a calculator. Otherwise, you're stuck with the method shown above.

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Question

I tried 354.8 and I got an incorrect answer. Should I add a zero at the end?

Community Answer

At the end of the eight you must place a zero next to it. No matter what, your number must be separated in pairs starting from the decimal place, evaluate it as 354.80, and break up the pairs as follows: 3,54,80 etc and keep adding pairs of zeroes after 80. Don't forget to place the decimal place properly in your solution, and be sure to not include the decimal when you are doubling the solution to find the next digit.

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What is the square root of 2.6?

Community Answer

1.612.

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Question

What is the answer of 5^(1/10)? How to calculate it manually?

Donagan

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It's doubtful that anyone has ever been able to calculate the tenth root of 5 manually. It would take a computer to do that.

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How do I find log 0.897?

Donagan

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Consult a logarithm table or simply ask a search engine.

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Question

How do I solve square root of x over 1200. That is, the square root of the fraction?

Donagan

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√(x / 1200) = √x / √1200 = √x / 34.64.

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Question

How do you put square root in algebra calculator and what is the sqare root of 16?

Donagan

Top Answerer

Most calculators come with a square root key. √16 = 4.

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Is this faster than Newton's method?

Donagan

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Yes, in most cases.

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Question

Is zero considered a perfect square?

Donagan

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Yes. Because zero is considered an integer (a whole number), its square (which is also zero) is called a "perfect square."

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Question

Is there an easier method to calculate square roots by hand, cause it's kinda hard?

Donagan

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There is no easier method that is as accurate as the above method. "Newton's method" is superficially easier, but it is generally slower and usually less accurate.

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Question

Is 980 a perfect square?

Donagan

Top Answerer

No. "Perfect square" means the square of a whole number. 980 is the square of 31.304951.

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Question

Square root of 6401.12?

Community Answer

The answer is approximately 80.007. For square roots of decimals, you can always use a calculator.

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Question

If roots over 15 equal to 3.88, how to show that roots over 5/3 equal to 1.293?

Ayden Bales

Community Answer

The square root of 5/3 is equivalent to the square root of 5 divided by the square root of 3. If you calculate these square roots you will find that the square root of 5/3 is 2.24/1.73 or about 1.291.

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Question

If I were to use this method for other radicals such as cube roots, would I just find three perfect factors instead of two?

Community Answer

No, you cannot use this method for solving cube roots. If you are solving cube roots, it is better to use a different method or to use you calculator.

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I have looked all over the web and haven't found how to solve radical 10. How do I do it?

Community Answer

Draw a tree diagram first and you find out all of the factors of 10. 10- 2,5. If there are doubles of factors, you but one of the number on the outside. Is there are no repeats of a number, it is the simplest it can be. In the case √10 is the simplest that it can be.

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What is the square root of 12, is it 3.4?

Donagan

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Yes, approximately.

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Question

What is the square root 81 plus squre root 25?

Donagan

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√81 + √25 = 9 + 5 = 14.

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Question

What does 3 square root 3 mean or something like that?

Donagan

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3√3 means 3 multiplied by the square root of 3.

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What is square root of 290?

Linnie

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The square root of 290 is approximately 17.03. You can approximate this by knowing that the square root of 289 is 17, so the square root of 290 would be very close to 17.

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Question

How do I solve s^4 = 1.43?

Donagan

Top Answerer

In this equation, s equals plus-or-minus the fourth root of 1.43. That's plus-or-minus the square root of the square root of 1.43.

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Question

Where can I find this method in a textbook?

Community Answer

Unfortunately, you likely won't. This algorithm has stopped being taught to students because there are calculators now, not many people know it now.

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