The value of - in 48 -32 -320 is

The correct option is nbsp;D nbsp;(16)Given equation 48√(?) + 32√(?) = 320 Let the unknown value be nbsp; x48√(x) + 32√(x)= 320⇒ (48 + 32) (√(x))= 320⇒ 80 ...

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Standard IX

Mathematics

Identity - 2 (Irrational Numbers)

The value of ...

Question

The value of ? in $48 \sqrt{?} + 32 \sqrt{?} = 320$ is

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Solution

The correct option is D ( $16$ )
Given equation $48 \sqrt{?} + 32 \sqrt{?} = 320$
Let the unknown value be $x$
$48 \sqrt{x} + 32 \sqrt{x} = 320$
$\Rightarrow (48 + 32) (\sqrt{x}) = 320$
$\Rightarrow 80 (\sqrt{x}) = 320$
$\Rightarrow \sqrt{x} = \frac{320}{80}$
$\Rightarrow \sqrt{x} = 4$
Squaring on both sides, we get
$\Rightarrow x = 4^{2}$
$∴ x = 16$

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The value of ? in 48√?+32√?=320 is

The correct option is D (16)Given equation 48√?+32√?=320 Let the unknown value be x48√x+32√x=320⇒(48+32)(√x)=320⇒80(√x)=320⇒√x=32080⇒√x=4Squaring on both sides, we get ⇒x=42∴x=16

The value of ? in $48 \sqrt{?} + 32 \sqrt{?} = 320$ is