Simplify the Radical Expression square root of (x+5)^6

$\sqrt{{(x + 5)}^{6}}$

Rewrite ${(x + 5)}^{6}$ as ${({(x + 5)}^{3})}^{2}$ .

$\sqrt{{({(x + 5)}^{3})}^{2}}$

Pull terms out from under the radical.

$| {(x + 5)}^{3} |$

Use the Binomial Theorem.

$| x^{3} + 3 x^{2} \cdot 5 + 3 x \cdot 5^{2} + 5^{3} |$

Simplify each term.

Multiply $5$ by $3$ .

$| x^{3} + 15 x^{2} + 3 x \cdot 5^{2} + 5^{3} |$

Raise $5$ to the power of $2$ .

$| x^{3} + 15 x^{2} + 3 x \cdot 25 + 5^{3} |$

Multiply $25$ by $3$ .

$| x^{3} + 15 x^{2} + 75 x + 5^{3} |$

Raise $5$ to the power of $3$ .

$| x^{3} + 15 x^{2} + 75 x + 125 |$