"a) To simplify: The radical expression 20" was answered by our experts

he298c

Answered question

2021-08-07

a)
To simplify:
The radical expression

\sqrt{20}

tabuordy

Skilled2021-08-08Added 90 answers

Explanation how to solve:

2021-12-13

Simplify the following:
$\sqrt{20}$

Factor 20 under the radical sign.
$\sqrt{20} = \sqrt{4 \times 5} = \sqrt{2^{2} \times 5} :$
$\sqrt{2^{2} 5}$

Simplify powers.
$\sqrt{2^{2} 5} = \sqrt{2^{2}} \sqrt{5} = 2^{\frac{2}{2}} \sqrt{5} = 2 \sqrt{5} :$
Answer: $2 \sqrt{5}$

Simplify the following:
$128^{\frac{1}{3}}$

Simplify radicals.
$128^{\frac{1}{3}} = {(2^{7})}^{\frac{1}{3}} = 2^{2} 2^{\frac{1}{3}} :$
$2^{2} 2^{\frac{1}{3}}$

Evaluate $2^{2} .$
$2^{2} = 4 :$
Answer: $4 \sqrt[3]{2}$

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