1.

768 - By which smallest number this number should be multiplied, so that the result becomes a perfect square? Find the square root of the result obtained.

Answer»

Hey Mate !!

The prime Factorization of 768 is,

768 = 2 × 2 × 2 ×2 × 2 × 2 × 2 × 2 × 3

Here, We can see the NUMBER 2 is paired 4 times while 3 is remained UNPAIRED.

When we multiply 768 with 3. The product is 768 × 3 = 2304

The prime Factorization of 2304 is

2304 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

All numbers are paired. Hence, 2304 is a perfect square. The Square ROOT is :

= 2 × 2 × 2 × 2 × 3

= 48

Therefore,

The Square root of 2304 is 48


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