If sqrt{x} - sqrt{y} = 1 and sqrt{x} + sqrt{y | vedclass

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(A) Given equations are:$(1)$ $\sqrt{x} - \sqrt{y} = 1$$(2)$ $\sqrt{x} + \sqrt{y} = 17$Adding equations $(1)$ and $(2)$:$(\sqrt{x} - \sqrt{y}) + (\sqr

Vedclass · Accepted Answer

$72$

Vedclass · Answer

(A) Given equations are:$(1)$ $\sqrt{x} - \sqrt{y} = 1$$(2)$ $\sqrt{x} + \sqrt{y} = 17$Adding equations $(1)$ and $(2)$:$(\sqrt{x} - \sqrt{y}) + (\sqrt{x} + \sqrt{y}) = 1 + 17$$2\sqrt{x} = 18$$\sqrt{x} = 9$Substituting $\sqrt{x} = 9$ into equation $(2)$:$9 + \sqrt{y} = 17$$\sqrt{y} = 17 - 9 = 8$Now,we need to find $\sqrt{xy}$:$\sqrt{xy} = \sqrt{x} \cdot \sqrt{y}$$\sqrt{xy} = 9 \cdot 8 = 72$Therefore,the value is $72$.

If $\sqrt{x} - \sqrt{y} = 1$ and $\sqrt{x} + \sqrt{y} = 17$,then $\sqrt{xy} = ?$

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