16. Roots and Radicals

Determine if the given square root evaluates to a real number.

$-\sqrt{4}$

Evaluate the radical.

$\sqrt{{(-5)}^2}$

Simplify the root.

${}^5\sqrt{243}$

Simplify the following.

${}^4\sqrt{{(2-a)}^4}$

Simplify the following.

${}^7\sqrt{{(-x-1)}^7}$

Determine if the given square root evaluates to a real number.

$-\sqrt{-25}$

Use a calculator to evaluate the following and round to the nearest hundredths.

${-}^8\sqrt{\frac{45}{29}}$

Simplify the following.

${}^4\sqrt{x^4{y}^8}$

Simplify the root.

$^4\(\sqrt{256}\)$

Determine if the given square root evaluates to a real number.

$\sqrt{-64}$

Simplify the following.

${-}^8\sqrt{{(x+1)}^8}$

Simplify the root.

${-}^4\sqrt{10,000}$

Evaluate the following square root.

$\sqrt{144}$

Estimate the square root between two consecutive whole numbers.

$\sqrt{138}$

Simplify the root.

${-}^5\sqrt{1024}$