Question

By what least number should added 6663 to get a perfect square number? And also, find the number whose square is the new number.

Answer 1

Answer:Given 3332,

Resolve 3332 into prime factors, we get

3332=2×2×7×7×17=(2

2

×7

2

×17)

Now to get perfect square we have to multiply the above equation by 17

Then we get, 3332=2×2×7×7×17×17

New number =(4×49×289)

=(2

2

×7

2

×17

2

)

Taking squares as common from the above equation we get

∴ New number =(2×7×17)

2

=(238)

2

Hence, the new number is square of 238

Step-by-step explanation: