How do you simplify sqrt(20x^2)*sqrt(20x)√20x2⋅√20x?

2 Answers
Tony B
Sep 3, 2016

20xsqrt(x)20x√x

Explanation:

As an example of concept consider
sqrt(2)xxsqrt(2) = sqrt(2xx2)=sqrt(2^2)=2√2×√2=√2×2=√22=2

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Now apply this concept to the question.

sqrt(20x^2)xxsqrt(20x) = sqrt(20^2xx x^2xx x) = 20xsqrt(x)√20x2×√20x=√202×x2×x=20x√x

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If you are ever not sure how something behaves then try it with simple values to see what happens. Then apply your understanding of the process.

Tazwar Sikder
Sep 4, 2016

20 x^((3) / (2))20x32

Explanation:

We have: sqrt(20 x^(2)) cdot sqrt(20 x)√20x2⋅√20x

= sqrt(20) cdot sqrt(x^(2)) cdot sqrt(20) cdot sqrt(x)=√20⋅√x2⋅√20⋅√x

= 20 cdot x cdot sqrt(x)=20⋅x⋅√x

= 20 cdot x^(1+(1) / (2))=20⋅x1+12

= 20 cdot x^((3) / (2))=20⋅x32

= 20 x^((3) / (2))=20x32

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