Question

find the Least number by which 8624 must be multiplied so that the product is a perfect square. also find the square root of the perfect square ​

Answer 1

Prime factors of 8624  =  2² × 2² × 7² × 11

Here 11 is unpaired

So, 11 is the least number which should be multiply by 8624 to make it a perfect square.

∴ 8624 × 11  =  94864

       94864  =  2² × 2² × 7² × 11²

    √94864  =  2 × 2 × 7 × 11

    √94864  =  308

Hope this helped you

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