Question

find the smallest number by which 1100 must be multiplied so that the product becomes a perfect square also find the square root of the perfect square so obtained​

Answer 1

HELLO DEAR FRIEND

YOUR ANSWER

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$\large \fbox \blue{11 \: and \: 110}$

$\large \it \bf \underline \red{STEP \: BY \: STEP }$

$\large \it \bf \underline \red{EXPLANATION }$

Given number, = 1100

factors of 1100 = (2 × 2) × (5 × 5) × 11

so, if we multiply the number

by $\bf \underline{11 }$

it will become a perfect square.

so, 1100 × 11 = 12100

12100 = (2 × 2) × (5 × 5) × (11 × 11 )

So, the square root of the perfect square so obtained = $\bf \underline{110 }$

HOPE IT HELPS YOU DEAR FRIEND THANKS