Question

find the square root of 841 by using prime factorization method

Answer 1

here is your answer⬆️

Answer 2

Concept:

The prime factorization method is the method of breaking down a number into its prime numbers and when we multiply those factors we get the original number.

Given:

The number 841.

Find:

We are asked to find the square root of 841 by using the prime factorization method.

Solution:

We have,

The number 841.

Now,

According to the question,

Find the factors of 841,

i.e.

Divide the given number by the smallest possible prime number,

i.e.

The smallest possible prime number is 29,

We get,

841 = 29 × 29

So,

Square root,

i.e.

√841 = √(29 × 29)

= 29

Hence, the square root of 841 by using the prime factorization method is 29.

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