Question

find the smallest number which should be multiplied by 3675 to make it a perfect square. Also find the square root of this perfect square.

Answer 1

Given number is 3675.
3675 = 3 × 5 x 5 x 7 x 7
Since 3 is left unpaired, so to make 3675 a perfect square it should be multiplied by 3.
∴ 3675 × 3 = 3 x 3 x 5 x 5 x 7 x 7
⇒ 11025 = 3 x 3 x 5 x 5 x 7 x 7


Answer 2

• 3 should be multiplied to get a perfect square.
• 105 is the new number.

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