The square root of $49 (x^{2} - 2 x y + y^{2})^{2}$ is

7 | x - y |

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7 (x + y) (x - y)

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7 (x + y)^{2}

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7 (x - y)^{2}

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Solution

The correct option is D $7 (x - y)^{2}$
$\sqrt{49 (x^{2} - 2 x y + y^{2})^{2}}$

$= \sqrt{49 ((x - y)^{2})^{2}}$ $[∵ (a - b)^{2}] = a^{2} - 2 a b + b^{2}]$

$= \sqrt{49 (x - y)^{4}}$

$= \sqrt{(7 \cdot (x - y)^{2})^{2}}$

$= 7 (x - y)^{2}$

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The square root of 49(x2−2xy+y2)2 is

The correct option is D 7(x−y)2√49(x2−2xy+y2)2=√49((x−y)2)2 [∵(a−b)2]=a2−2ab+b2]=√49(x−y)4=√(7⋅(x−y)2)2 =7(x−y)2

The square root of $49 (x^{2} - 2 x y + y^{2})^{2}$ is

The correct option is D $7 (x - y)^{2}$
$\sqrt{49 (x^{2} - 2 x y + y^{2})^{2}}$

$= \sqrt{49 ((x - y)^{2})^{2}}$ $[∵ (a - b)^{2}] = a^{2} - 2 a b + b^{2}]$

$= \sqrt{49 (x - y)^{4}}$

$= \sqrt{(7 \cdot (x - y)^{2})^{2}}$

$= 7 (x - y)^{2}$