Q&A for How to Solve Radical Equations

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What is √40?

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√40 = √[(4)(10)] = 2√10.

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How did you get x = 2.53, 11.47?

I_l1ke_gam3s

Community Answer

Using the quadratic formula, these were the values they got. However, one of them didn't work, and therefore was an "extraneous" solution.

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How do I isolate 2x cubed?

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(2x)^3 = (2x)(2x)(2x) = 8x^3.

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How do you find x in radicals?

I_l1ke_gam3s

Community Answer

If you wanted to solve √x = 5, for example, you would square both sides to get x = 25.

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Is it possible to solve 2 radicals without isolating?

I_l1ke_gam3s

Community Answer

If you mean by isolating, you won't be able to get a specific value of x. Just square both sides then isolate to find your value of x.

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How do you cube both sides?

I_l1ke_gam3s

Community Answer

To cube a number, multiply it by itself twice. For example, 4³ is 4 x 4 x 4 which is equal to 64. (Cubing a number means using that number as a factor three times.)

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