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Aleks [24]
3 years ago
12

Compute the following radical. sq root 144

Mathematics
1 answer:
lara31 [8.8K]3 years ago
3 0

we are given

\sqrt{144}

Firstly, we will find all possible factors of 144

144=2\times 2\times 2\times 2\times 3\times 3

we can also write as

144=(2\times 2)^2\times (3)^2

now, we can put exponent to over entire term

144=(2\times 2\times 3)^2

now, we can replace 144

\sqrt{144}=\sqrt{(2\times 2\times 3)^2}

now,  sqrt will get cancelled with square

and we get

\sqrt{144}=(2\times 2\times 3)

now, we can simplify it

\sqrt{144}=(4\times 3)

\sqrt{144}=12.............Answer


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