Simplify the following radical expression. $$ \sqrt{20} $$ A. $$ 2 \sqrt{5} $$ B. $$ 5 \sqrt{2} $$ C. $$ 4 \sqrt{5} $$ D. $$ 10 \sqrt{5} $$

Question

UpStudy AI · Accepted Answer

Given the expression:

$$
\sqrt{20}
$$

**Step 1:** Factor the number inside the square root into a perfect square and another factor.

$$
20 = 4 \times 5
$$

**Step 2:** Apply the property of square roots:

$$
\sqrt{20} = \sqrt{4 \times 5} = \sqrt{4}\sqrt{5}
$$

**Step 3:** Simplify the square root of the perfect square:

$$
\sqrt{4} = 2
$$

So,

$$
\sqrt{20} = 2\sqrt{5}
$$

Thus, the correct answer is:

A. $$2\sqrt{5}$$
The simplified form of $$ \sqrt{20} $$ is $$ 2\sqrt{5} $$.

Simplify the following radical expression. \( \sqrt{20} \) A. \( 2 \sqrt{5} \) B. \( 5 \sqrt{2} \) C. \( 4 \sqrt{5} \) D. \( 10 \sqrt{5} \)