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Grant Combs
Mathematics
11 March, 21:13
What is the square root of 180
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Jennifer Moran
11 March, 21:17
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The square root would be 13.416
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Tristen Ferrell
11 March, 21:29
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To find square root of 180, we first factor it out.
To find the factors of 180, we make a tree diagram.
180 can be written in factor form as : -
180 = 2 * 2 * 3 * 3 * 5
Here 2 comes twice, 3 comes twice and 5 comes only once.
This can be rewritten as
180 = 2^2 ˣ 3^2 ˣ 5
Taking Square root both sides, we get
√ (180) = √ (2^2 * 3^2 * 5)
[Power of 2 got cancelled with square root sign. Thus we left with 2 and 3 and square root 5 ]
This gives 2 * 3 * √ 5 = 6 √ 5
We know value of square root 5 is 2.236.
Thus square root of 180 is 6 √5 = 6 * 2.236 = 13.4164.
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