Question

find the square root of 12100by the prime factorisation method

Answer 1

Heya !!!



Prime factorisation of 12100 = 11 × 11 × 10 × 10


=> 11 × 10



=> 110


Hence,


Square root of 12100 is 110.


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Answer 2

The square root of the number 12,100 is 110.

Given,

The number = 12,100.

To Find,

The square root of a given number by prime factorization method.

Solution,

Before solving the question, let's understand the concept of square root and prime factorization.

Square Root:- In mathematics, square roots are factors of numbers that are multiplied by themselves to give the original number. One can define the square root of a number as the power 1/2 of it. It is represented by '√.'

Prime Factorization:- Prime factorization is the method in which the numbers are broken into even factors that can be divided evenly by the numbers.

Now, let's solve the question,

Square root = $\sqrt{12,100}$.

Let's find the factors of 12,100 by prime factorization method,

12,100 = 10 × 10 × 11 × 11.

So, the factor of 12,100 is 10 × 10 × 11 × 11.

Now, we will use the factors in the square root to find the value,

√x = $\sqrt{10*10*11*11}$

on removing the square root, we will get

x = 10 × 11

on multiplying, we get the value of the square root,

= 110.

The square root of the number 12,100 is 110.

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