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How do you simplify #sqrt(7x^7) sqrt(42x)#?

Answer 1

Avery Alexander

#=7sqrt6x^4#

#sqrt(7x^7)sqrt(42x)=7^(1/2)x^(7/2)*7^(1/2)6^(1/2)x^(1/2)# #=7^(1/2+1/2)6^(1/2)x^(7/2+1/2)=7sqrt6x^4#

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Answer 2

Hazel Anglin

To simplify the expression sqrt(7x^7) * sqrt(42x), we can combine the two square roots into one. Using the property sqrt(a) * sqrt(b) = sqrt(a * b), we have sqrt(7x^7 * 42x). Simplifying the expression inside the square root, we get sqrt(294x^8). Therefore, the simplified form of sqrt(7x^7) * sqrt(42x) is sqrt(294x^8).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.