Question

By which number should we multiply 243463 to make it a a perfect square

Answer 1

Answer:

Given 7623,

Resolve 7623 into prime factors, we get

7623=3×3×7×11×11=(3

2

×11

2

×7)

Now to get perfect square we have to multiply the above equation by 7

Then we get, 7623=3×3×7×7×11×11

New number =(9×49×121)

=(3

2

×7

2

×11

2

)

Taking squares as common from the above equation we get

∴ New number =(3×7×11)

2

=(231)

2

Hence, the new number is square of 231