Question

find the smallest number 450 must be multiplied so that the product became a perfect square​

Answer 1

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${\tt{\red{\underline{\underline{\huge{Answer:-}}}}}}$

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Ans :-$\fbox{2}$

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To Find :- Smallest number by which 450 must be multiplied so that product becomes a perfect square

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${\tt{\green{\underline{\underline{\huge{Solution:-}}}}}}$

$\mathrm{\boxed{\boxed{\pink{➡ Prime \:Factorization\: Of \:450✔}}}}$

➡450 = 2 × 3 × 3 × 5 × 5

➡We Observe That 3 And 5 Are In Pair And 2 Is Unpair

➡If We Multiply 450 by the factor 2 then

➡450 × 2 = 2 × 2 × 3 × 3 × 5 × 5

➡900 = 2 × 2 × 3 × 3 × 5 × 5

900 Is A Perfect Square Number

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Hence ,$\fbox{2}$

smallest number by which$\fbox{450}$

be multiplied so that product becomes a perfect square

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${\huge{\underline{\small{\mathbb{\blue{HOPE\:HELP\:U\:BUDDY :)}}}}}}$