What is the square root of 160?

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Answer 1 · 2018-05-23T12:17:08

The result can be shown in both exact and decimal forms.
Exact Form:

#4sqrt10#

Decimal Form:

#12.64911064…#

Rewrite #160# as # sqrt(4 xx 10)#

#sqrt(4 xx 10# = #4sqrt10#

The result can be shown in both exact and decimal forms.
Exact Form:

#4sqrt10#

Decimal Form:

#12.64911064…#
.

Answer 2 · 2018-05-23T12:18:39

See a solution process below:

We can rewrite this expression as:

#sqrt(160) => sqrt(16 * 10)#

Now, we can use this rule for radicals to simplify the expression:

#sqrt(color(red)(a) * color(blue)(b)) = sqrt(color(red)(a)) * sqrt(color(blue)(b))#

#sqrt(color(red)(16) * color(blue)(10)) => sqrt(color(red)(16)) * sqrt(color(blue)(10)) => 4sqrt(10)#