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shtirl [24]
3 years ago
6

Select the expression equal to the square root of 48

Mathematics
2 answers:
Dima020 [189]3 years ago
6 0

Hey! :)

So here we need to simplify the square root. The easiest way to do this is split the number into it's lowest common factors.

\sqrt{48}\\\sqrt{24*2}\\\sqrt{12*2*2}\\\sqrt{6*2*2*2}\\\sqrt{3*2*2*2*2}

Now we can notice that there are four 2's. This means that we can write this as

\sqrt{3*4^2} \\\sqrt{4^2} *\sqrt{3}

And \sqrt{4^2} can be simplified into 4

So our answer is 4\sqrt{3}

*I want to note here that this could be the only answer anyway, because the rest of the answers aren't simplified. \sqrt{4}=2,and\sqrt{16}=4

Alenkinab [10]3 years ago
3 0

Answer:

A.

Step-by-step explanation:

The square root of 48 is approx. 6.93

If you sq. root 3 it will equal approx. 1.73

1.73 x 4 = approx. 6.93

Hope this helps :)

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3 years ago
What are the factors of 252 .
Naya [18.7K]

Answer:

252 is a composite number.

Prime factorization: 252 = 2 x 2 x 3 x 3 x 7, which can be written 252 = (2^2) x (3^2) x 7

The exponents in the prime factorization are 2, 2, and 1. Adding one to each and multiplying we get (2 + 1)(2 + 1)(1 + 1) = 3 x 3 x 2 = 18. Therefore 252 has 18 factors.

Factors of 252: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Factor pairs: 252 = 1 x 252, 2 x 126, 3 x 84, 4 x 63, 6 x 42, 7 x 36, 9 x 28, 12 x 21, or 14 x 18

Taking the factor pair with the largest square number factor, we get √252 = (√7)(√36) = 6√7 ≈ 15.875

Step-by-step explanation:

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3 years ago
Read 2 more answers
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