Question

Find the smallest whole number by which 1008 should be multiplied so all to get a perfect square number . also find the square root of the number so obtained.
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ᕦʕ •ᴥ•ʔᕤ​

Answer 1

→ hOPE IT HELPS YOU!

→ BY prime factorization method we got 2 × 2× 2 × 2 × 3 × 3 × 7

→ So by grouping them we can say that 7 is left. so,

∴ 7 is the smallest whole number that should be multiplied to 1008 to get a perfect square.

Answer 2

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If 7 gets a pair, then the number will become a perfect square. Therefore, 1008 can be multiplied with 7 to obtain a perfect square. Therefore, 1008 × 7 = 7056 is a perfect square.