Q&A for How to Multiply Square Roots

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  • Question
    We are not allowed to use a calculator, so how do I multiply a whole number by a square root?
    Community Answer
    When you multiply a whole number by a square root, you just put the two together, with the whole number in front of the square root. For example, 2 * (square root of 3) = 2(square root of 3). If the square root has a whole number in front of it, multiply the whole numbers together. So 2 * 4(square root of 3) = 8(square root of 3).
  • Question
    What is 2 root 3 times root 3?
    Donagan
    Top Answerer
    √3 times √3 equals 3. Two times that is 6.
  • Question
    What is 4 divided by square root of 5?
    Community Answer
    (4√5)/5. Since radicals are not supposed to be in the denominator, you multiply by √5/√5 to get (4√5)/5.
  • Question
    What is 5 times the square root of 2?
    Community Answer
    Generally we write 5√2 or calculate the square root of 2, which is 1.414, and then multiply it by 5. The answer would be 7.07.
  • Question
    How do I simplify the square root of (5+7) squared?
    Community Answer
    The square root and the square cancel each other out, so the final answer is 5+7, which is 12.
  • Question
    What is 2 times 2, root 2?
    Michael Carter
    Community Answer
    It would be 2 x 2sqrt2 = 4sqrt2, this is the simplest form and cant be reduced any further.
  • Question
    What is the square root of 6?
    Community Answer
    It's an irrational number, which you could round to 2.45. Usually you would just use a calculator to find such a square root.
  • Question
    What is the square root of 3 times -1?
    Community Answer
    When multiplying an integer by a square root, you simply place the integer in front of the radical sign. So -1 x √3 is expressed as -1√3. You can use a calculator to find the exact product.
  • Question
    What is sqr -4 times sqr -9? Is it -6 or 6?
    Donagan
    Top Answerer
    -6.
  • Question
    How do you multiply a whole number with a square root?
    Community Answer
    You simply place the whole number in front of the radical sign. For example, 2 x √2 would simply be expressed as 2√2. You can use a calculator to find the exact product.
  • Question
    What is the square root of 2 times the square root of 12?
    Community Answer
    The answer is 2√3. First, it would be written as √(2√12). Then, after simplification it would become √(2√3×4)=√(4√3), √4=2, 2√3.
  • Question
    How do I square root a square root?
    Donagan
    Top Answerer
    The square root of the square root of a number is equal to the fourth root of that number.
  • Question
    Can I multiply a number with a root? E.g. 2.16 root 6?
    Donagan
    Top Answerer
    Yes. (2)(16√6) = 32√6.
  • Question
    What is 20 root 3 times root 2?
    Community Answer
    20 root 6. There is an imaginary one in front of the root symbol, so root 2 = 1 root 2. First multiply the numbers outside the root symbol. 20 times 1 is 20. Then you multiply the numbers inside the root symbol. 2 times 3 is 6. You can't simplify root 6, so your answer is 20 root 6.
  • Question
    If I have one number under the square root and the other is not, how do I multiply it?
    Community Answer
    Leave the number outside the square root alone, and multiply the root number.
  • Question
    What is root 2 multiplied by 5 root 2?
    Community Answer
    The answer is 10. Since you have sqrt 2 multiplying by sqrt 2, that turns into sqrt 4, which is simplified as 2. So that would be 5 * 2, which is equal to 10.
  • Question
    What is (√3)(3 - √3)?
    Donagan
    Top Answerer
    (√3)(3 - √3) = 3√3 -(√3)(√3) = 3√3 - 3.
  • Question
    What happens when the first square root doesn't have a number in front of it, but the second number does?
    Community Answer
    You leave the number outside of the square root alone, and you multiply the square roots. Then, you simplify your square root to the lowest it can be, and if it gives an integer, multiply the two. If it gives a square root again, just put the number that was originally outside next to your new square root.
  • Question
    What is (2 - √2) x (2 + √2)?
    Donagan
    Top Answerer
    (2 - √2)(2 + √2) = 4 +2√2 - 2√2 - 2 = 4 - 2 = 2.
  • Question
    What is 5 root 3 multiplied by root 27?
    Community Answer
    5 sqrt 3 x sqrt 27 = 5 sqrt 3 x sqrt (9 x 3) = 5 sqrt 3 x 3 sqrt 3 = 15 sqrt (3 x 3) = 15 x 3= 45.
  • Question
    How do you find the square root of 149?
    I_l1ke_gam3s
    Community Answer
    See Calculate a Square Root by Hand or use a calculator to find the result. Its exact value is 12.21.
  • Question
    What is the square of -4 times the square of -9?
    Community Answer
    (-4)²(-9)² = (16)(81) = 1296. (The square of a negative number is a positive number.)
  • Question
    What is root 3 times 2 root 2?
    Community Answer
    (√3)(2√2) = 2√[(3)(2)] = 2√6. Leave it like that or further evaluate it: 2√6 = (2)(2.45) = 4.9.
  • Question
    What is the square root of √36?
    Community Answer
    √36 = 6. √(√36) = √6 = 2.45.
  • Question
    What is root 2 times root 3?
    Community Answer
    (√2)(√3) = √[(2)(3)] = √6.
  • Question
    What is (√2 - 2)²? Please explain with steps.
    Community Answer
    (√2 - 2)² = (√2 - 2)(√2 - 2) = (√2)(√2) - 2√2 - 2√2 + 4 = (2) - 4√2 + 4 = 6 - 4√2. You can leave the answer in that form, or you could evaluate √2 as 1.414. Then 6 - 4√2 = 6 - 4(1.414) = 6 - (5.656) = 0.344. You could also evaluate √2 at the beginning and then evaluate (√2 - 2)², which would yield the same answer.
  • Question
    What is 9 times the square root of 3?
    Community Answer
    9√3 = (9)(1.732) = 15.59.
  • Question
    What is the square root of 39?
    Community Answer
    6.245.
  • Question
    What is three square root two times two?
    Community Answer
    If you're asking about (2)(3√2), it's 6√2.
  • Question
    What is the square root of 2, multiplied by 1?
    Community Answer
    The square root of 2. Anything multiplied by one is itself.
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