Find the square of 37- - Maths Q-A

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Standard IX

Mathematics

Algebraic Identities

Find the squa...

Question

Find the square of $37$ .

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Solution

Find the square using algebraic identity
We can use the identity ${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$ to find the square of $37$ .
We can write $37$ as $(30 + 7)$ .
Applying the above identity, we get,
$= {(30 + 7)}^{2} = {(30)}^{2} + 2 (30) (7) + {(7)}^{2} = 900 + 420 + 49 = 1369$
Hence, the square of $37$ is $1369$ .

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Find the square of 37.

Find the square using algebraic identityWe can use the identity (a+b)2=a2+2ab+b2 to find the square of 37.We can write 37 as (30+7).Applying the above identity, we get,=(30+7)2=(30)2+2(30)(7)+(7)2=900+420+49=1369Hence, the square of 37 is 1369.

Find the square of $37$ .