Question

Find the smallest number by which 2335 be multiplied to get a perfect square .Also, find the
square root of the new number.

Answer 1

Given :  a number 2335

To find : smallest number by which 2335 be multiplied to get a perfect square

find the  square root of the new number.

Solution:

Do the rime factorization of given number 2335

2335 = 5 * 467

Both the factors are single

So we need to multiply with  5 & 467 = 2335  to get perfect square

=> 2335 * 5 * 467

= 2335 * 2335

= (2335)²

Square root of new number = √(2335)²  = 2335

2335 is the smallest number by which 2335 be multiplied to get a perfect square

2335 is the square root of the new number.

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