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Well, you simplify √120 into √4 * √30.

√4 = 2

So then √120 = 2*√30

Hope I helped!

factors of 120 are 2*2*2*3*5 so as it is a square root you could take pair of same number out the root and it comes out only as a single number . Here 2 is the number with the pair so when you take pair of 2 out of the root you are left with 2*3*5 in the root which is equal to 30

first: do square root of (4 x 30), the 4 goes out and becomes a 2, left 30 inside the square root. But 30 does not contain anymore squares in it. (ex: 2 x 15 has no squares, 5 x 6 has no squares etc.) Thus the answer is 2 square root of 30.

√120 can be written as √4 * √30

what is √4? it's 2.

so, you obtained the square root. Place it outside the radical and leaving √30 behind.

√(120) =

√(4*30) =

√(4) * √(30) =

2√(30)

Remember that the square root is a function of multiplication.

You can split up multiplication or division of square roots.

120 = 4x30

the square root of 4 =2

√120 = √4x30 =√4x√30=2√30

Sqrt(120) = sqrt(4*30)

To move the 4 outside of the radical, you have to take the square root

2*sqrt(30)

Or

Sqrt(4*30) = sqrt(4)*sqrt(30) = 2*sqrt(30)

2^2 is equal to four, so expand the problem out so the 4 can be put in with the equation with 30 and multiply! Hope this helps ;)

How is √120 = 2√30 ?

..........

How is √120 = √(4 * 30) = √4 * 30 = 2 * √30 ............... done

We can determine √30 as well (in decimal fraction),

yet it is easier and more comprehensive (in some cases) to write it as it is.

root(120) = root(4*30) = 2*root(30