Question

simplifying a radical with two variables

Answer 1

\[\sqrt{32t ^{7}u ^{10}}\]

Answer 2

\[\sqrt{(4)(8)(t ^{6})(t)(u ^{10})}\]

Answer 3

\[\sqrt{(4)(t ^{6})(u ^{10})}\sqrt{8t}\]

Answer 4

\[2t ^{3}u ^{5}\sqrt{8t}\]

Answer 5

is it right lol

Answer 6

Lol. No. Sorry it's not. You are in the right direction, however, you pulling out the wrong numbers and variables.
Let's start from here:
\[\sqrt{(32)(t^7)(u^{10})}\]

which can be rewritten as:
\[\left( (2^5)(t^7)(u ^{10} )\right)^{\frac{ 1 }{ 2 }}\]

Answer 7

so you can times "1/2" throughout the parenthesis to get \[2^{\frac{ 5 }{ 2 }}t ^{\frac{ 7 }{ 2 }}u ^{\frac{ 10 }{ 2 }}\] which can be rewritten as this