How do you find the square root of 1849?

We have to find the square root of 1849

Solution

We will find the square root of 1849 by prime factorisation methods

Calculate the prime factors of 1849.

The first step is to divide the number 1849 with the smallest prime factor, say 2.

1849 ÷ 43 = 43

Again divide 43 by 43 and the process goes on.

43 ÷ 43 = 1

So, the prime factors of 1849 are written as 43 X 43

On paring the factors we get

1849= 43 X 43

√1849= √(43 X 43)

√1849= 43

Answer

The square root of 1849 = √1849= 43

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