How do you simplify the square root of 40?

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Answer 1 · 2015-09-16T21:21:41

$2sqrt10$

$sqrt40$

Write the prime factors for $40$ .

$sqrt(2xx2xx2xx5)$

Group the same prime factors into pairs.

$sqrt((2xx2)xx2xx5)$

Rewrite $(2xx2)$ in exponent form.

$sqrt(2^2xx2xx5)$

Apply the rule $sqrt(x^2)=x$

$sqrt(2^2)=2$

Simplify.

$2sqrt(2xx5)$

Simplify.

$2sqrt10$