The square of 20 1-2 is equal to

The correct option is D 420.25 (20 1/2 )^2 can be written as (20 + 1/2 )^2 = (20)^2 + (1/2 )^2 + 2 × 20 ×1/2 [(x+y)^2 = x^2 y^2 + 2xy ] = 400 + 1/4 + 20 = ...

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Byju's Answer

Standard VIII

Mathematics

Deducing Formula for (x+y)^2

The square of...

Question

The square of $20 \frac{1}{2}$ is equal to

420.25

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415.75

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422.50

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424.25

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Solution

The correct option is A
420.25

${(20 \frac{1}{2})}^{2}$ can be written as

${(20 + \frac{1}{2})}^{2}$

$= (20)^{2} + {(\frac{1}{2})}^{2} + 2 \times 20 \times \frac{1}{2} [(x + y)^{2} = x^{2} y^{2} + 2 x y]$

$= 400 + \frac{1}{4} + 20$

$= 420.25$

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The square of 2012 is equal to

The correct option is A 420.25 (2012)2 can be written as (20+12)2 =(20)2+(12)2+2×20×12 [(x+y)2=x2y2+2xy] =400+14+20 =420.25

The square of $20 \frac{1}{2}$ is equal to

The correct option is A
420.25

${(20 \frac{1}{2})}^{2}$ can be written as

${(20 + \frac{1}{2})}^{2}$

$= (20)^{2} + {(\frac{1}{2})}^{2} + 2 \times 20 \times \frac{1}{2} [(x + y)^{2} = x^{2} y^{2} + 2 x y]$

$= 400 + \frac{1}{4} + 20$

$= 420.25$