What is the square root of 80?

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Answer 1 · 2018-05-10T02:44:56

$sqrt(80)=4sqrt5$
$color(white)(sqrt(80))~~8.944$

By the properties of square roots:

$sqrt(80) = sqrt(4 xx 20)$
$color(white)(sqrt(80)) = sqrt(4 xx 4 xx 5)$
$color(white)(sqrt(80)) = 4sqrt5$

An approximate decimal answer is 8.944.

Answer 2 · 2018-05-10T02:46:35

$sqrt80=color(blue)(4sqrt5$

Given:

$sqrt80$

Prime factorize $80$ .

$sqrt(2xx2xx2xx2xx5)$

Group the same prime factors in pairs.

$sqrt((2xx2)xx(2xx2)xx5)$

Rewrite each pair in exponent form.

$sqrt(2^2xx2^2xx5)$

Apply rule: $sqrt(a^2)=a$

$2xx2sqrt5$

$4sqrt5$