Solve \sqrt{72x^3z^3}

Evaluate

72 x^{3} z^{3}

Write the expression as a product where the root of one of the factors can be evaluated

36 \times 2 x^{3} z^{3}

Write the number in exponential form with the base of 6

6^{2} \times 2 x^{3} z^{3}

Rewrite the exponent as a sum

6^{2} \times 2 x^{2 + 1} z^{2 + 1}

Use a^{m + n} = a^{m} \times a^{n} to expand the expression

6^{2} \times 2 x^{2} \times x z^{2} \times z

Reorder the terms

6^{2} x^{2} z^{2} \times 2 x z

The root of a product is equal to the product of the roots of each factor

6^{2} x^{2} z^{2} \times 2 x z

Solution

6 z x 2 z x

Simplify the expression