Question

What should be multiplied to 288 to become it a perfect square.

Answer 1

Answer:

2

Step-by-step explanation:

2×288=576=24^2

i hpe it helps you friend

Answer 2

Given :  288  

To find : What should be multiplied to 288 to become it a perfect square.

Solution:

Prime factorize

288

288 = 2 * 144

=> 288 = 2 * 2 * 72

=> 288 = 2 * 2 * 2 * 36

=>288 = 2 * 2 * 2 * 2 * 18

=> 288 = 2 * 2 * 2 * 2 * 2 * 9

=> 288 = 2 * 2 * 2 * 2 * 2 * 3 * 3

=>  288 = 2² * 2² * 2 * 3²

=>  288 = 2² * 2²  * 3² * 2

=> 288 = (2 * 2 * 3)² * 2

=> 288 = 12²  * 2

it should be multiplied with 2 to get perfect square

=> 288 * 2 = 12² * 2²

=> 576  = 24²

2 should be multiplied to 288 to become it a perfect square.

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