Find the square root of 28 in radical form

We have to find the square root of 28 in radical form

Solution

The number 28 is a composite and it should have prime factors. Now let us know how to calculate the prime factors.

The first step is to divide the number 28 with the smallest prime factor, say 2.
28 ÷ 2 = 14

Again divide 14 by 2 and the process goes on.
14 ÷ 2 = 7

Now, if we divide 7 by 2, we get a fractional number, that cannot be a factor. So, continue with the next prime factor, say 7
7 ÷ 7 = 1

Finally, we got the number 1 at the end of the division process. So that we cannot proceed further.

So, the prime factors of 28 are written as 2 × 2 × 7

On paring the factors we get

28= (2 X 2) X 7

28 = 7√2

Answer

The square root of 28 = 7√2

√28= 7√2

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