Question

The least number that should be divided with
9^491 X 8^165 to make it a perfect square is​

Answer 1

Answer:

By what least number should the given number be divided to get a perfect square number?

In the case, find the number of square is the new number

8820

Medium

Solution

verified

Verified by Toppr

Given 8820,

Resolve 8820 into prime factors, we get

8820=2×2×3×3×5×7×7=(2

2

×3

2

×7

2

×5)

Now to get perfect square we have to divide the above equation by 5

Then we get, 8820/5=2×2×3×3×7×7

New number =(4×9×49)

=(2

2

×3

2

×7

2

)

Taking squares as common from the above equation we get

∴ New number =(2×2×3×3×7×7)

2

=(42)

2