Express the radical in simplified form. Assume that all variables represent positive real numbers.
$\sqrt{64 x^{3} y^{7}}$
$\sqrt{64 x^{3} y^{7}} = 8 x^{3} y^{7}$
(Simplify your answer. Type an exact answer, using radicals as needed. Do not factor.)

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Answer

$8 x \sqrt{x} y^{3} \sqrt{y}$ is the final answer

Steps

Step 1 ：Given expression is $\sqrt{64 x^{3} y^{7}}$

Step 2 ：Take the square root of each part separately

Step 3 ：Square root of 64 is 8

Step 4 ：Square root of $x^{3}$ is $x^{1.5}$ or $x \sqrt{x}$

Step 5 ：Square root of $y^{7}$ is $y^{3.5}$ or $y^{3} \sqrt{y}$

Step 6 ：So, the simplified form of the given expression is $8 x \sqrt{x} y^{3} \sqrt{y}$

Step 7 ： $8 x \sqrt{x} y^{3} \sqrt{y}$ is the final answer