Question

Find the error & explain why it is wrong:

Megan had to simplify the radical expression below. What did she do wrong?

Answer 1

Answer:
`4x^2√(2x)`

Explanation:

How to simplify your question :
`√(32x^5)`

Step 1 : Seperate the terms.

That gives

`(4√(2))(√(x^5)\\ (4√(2))(x^2√(x))`(Simplify)

Step 2 : Apply the product property of square roots: the product of square roots is equal to the square root of the product.

`(4)(x^2)= 4x^2\\(√(2))(√(x))=√(2x)`

That leaves with the solution :
`4x^2√(2x)`

What she did wrong was that after she evaluated sq.root 16, she puts sq.root 4 instead of 4.

I hope this helps!

Answer 2

Step C error with expression sqrt(16)

Explanation:

so in step B look closely at the very first square root...it says
`√(16)`

now in step C look again at the first square root...it says
`√(4)`, without any other obvious numerical arrangements to account for this error

essentially, sqrt(16) is 4, and sqrt(4) is 2, and they took the square root of 16 incorrectly in step C. It should've been just 4, not sqrt(4).