Question

simplify
square root of 72x^3y^4

Answer 1

how does 3x*9y*\[\sqrt{8x}\]sound

Answer 2

\[6\sqrt{2} x^{3/2}y^{2}\]

Answer 3

6xy^2 root2x

Answer 4

bracket can you show how you did that please, we need to show the work

Answer 5

root (a*b*c) = root(a) * root(b) * root(c)

so\[ \sqrt{72x ^{3}}y ^{4} = \sqrt{72}*\sqrt{x ^{3}}*\sqrt{y ^{4}}\]

Answer 6

and 72=2*2*2*3*3=2^2*3^2*2

Answer 7

\[\sqrt{x ^{3}} = (x ^{3})^{1/2} = x ^{3/2}\]

Answer 8

\[\sqrt{y ^{4}} = (y ^{4})^{1/2} = y ^{4/2} = y ^{2}\]

Answer 9

so\[\sqrt{72}x ^{3}y ^{4}=6\sqrt{2}*x ^{3/2}*y ^{2}\]

Answer 10

Hope this clear???

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