Math, asked by vaishali4585, 11 months ago

by using prime factorisation check if the following numbers are perfect squares i)1936​

Answers

Answered by perweennujhat936
6

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Answered by Tulsi4890
2

1936 is a perfect square

Given:

A number by using prime factorization check if the following numbers are perfect squares i)1936​

To Find:

The given number is a perfect square by the prime factorization method.

Solution:

We are required to check whether the given number is a perfect square or not by using the prime factorization method.

In the prime factorization method if all the numbers are in the power of 2 then the number is a perfect square otherwise not.

On prime factorizing the given number 1936, it gives

1936 = 2×2×2×2×11×11

1936 = 2⁴×11²

The prime factorization of 1936 has all the prime numbers in the power of 2.

Therefore, 1936 is a perfect square

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