Square of 5 3-4 is equal to

The correct option is B 33 1/16 (5 3/4 )^2 can be written as ( 6 1/4 )^2 = (6)^2 + (1/4 )^2 2 × 6 ×1/4 [(x y)^2 = x^2 + y^2 2xy ] = 36 + 1/16 3 = 3 ...

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Byju's Answer

Standard VIII

Mathematics

Deducing Formula for (x-y)^2

Square of 5 3...

Question

Square of $5 \frac{3}{4}$ is equal to

$32 \frac{1}{16}$

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$33 \frac{1}{16}$

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$32 \frac{3}{4}$

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$33 \frac{1}{4}$

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Solution

The correct option is B
$33 \frac{1}{16}$

${(5 \frac{3}{4})}^{2}$ can be written as

${(6 - \frac{1}{4})}^{2}$

$= (6)^{2} + {(\frac{1}{4})}^{2} - 2 \times 6 \times \frac{1}{4} [(x - y)^{2} = x^{2} + y^{2} - 2 x y]$

$= 36 + \frac{1}{16} - 3$

$= 33 \frac{1}{16}$

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Square of 534 is equal to

The correct option is B 33116 (534)2 can be written as (6−14)2 =(6)2+(14)2−2×6×14 [(x−y)2=x2+y2−2xy] =36+116−3 =33116

Square of $5 \frac{3}{4}$ is equal to

The correct option is B
$33 \frac{1}{16}$

${(5 \frac{3}{4})}^{2}$ can be written as

${(6 - \frac{1}{4})}^{2}$

$= (6)^{2} + {(\frac{1}{4})}^{2} - 2 \times 6 \times \frac{1}{4} [(x - y)^{2} = x^{2} + y^{2} - 2 x y]$

$= 36 + \frac{1}{16} - 3$

$= 33 \frac{1}{16}$