Question

47089 find the square root by prime factorization method​

Answer 1

hey mate

find here

square root by prime factories

given number

= 47089

so,

47089= 7×7×31×31

so,

√(47089)= √(7×7×31×31)

= 7×31

= 217

I hopes its helps u

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@abhi.

Answer 2

$\huge{\bold{\underline{\underline{\LARGE{SOLUTION}}}}}$

Steps to solve-

• .Firstly you have to find factors of given numbers.

• Then you have two make pair of two's. For example : x, y, y and x are the factors of z then the pair is x*x and y*y
• After that you multiply the number which you have obtain from pairs. For example you have got pair x*x and  y*y after that you have to multiply x*y.

Now come to your question,

Given number = 47089

Now we have to find prime factor of 47089

$\begin{array}{r | 1} 7 & 47089 \\ \cline{2-2} 7 & 6727 \\ \cline{2-2} 31 & 961 \\ \cline{2-2} 31 & 31 \\ \cline{2-2} & 1 \end{array}$

Now we have to write factors of 47089 and make pairs of two's.

47089 = √(7 × 7 ) × √(31 × 31)

After that we have to multiply the numbers which we get from pairs.

7 × 31

= 217 answer.

Square root of 47089 is 217.