Question

$find \: the \: value \sqrt{ \frac{1.44}{0.49} }$Pls help me my diearies...!!
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Answer 1

Question

$\rm{\sqrt{\dfrac{1.44}{0.49}}}$

Solution

$\rm{ \sqrt{ \dfrac{1.44}{0.49} } }$

Multiply numerator and denominator by 100 to eliminate decimal

$\rm{ \sqrt{ \dfrac{144 \times 100}{49 \times 100} } }$

Eliminate zeros

$\sqrt{\dfrac{144 \times {1\cancel{00}}}{49 \times 1\cancel{00}} }$

$= \sqrt{ \dfrac{144}{49} }$

Square root both numerator and denominator

$\dfrac{ \sqrt{144} }{ \sqrt{49} }$

Square root of 144 is 12 ; Square root of 49 is 7

$\dfrac{12}{7}$

Therefore,

$\rm{\sqrt{\dfrac{1.44}{0.49}} = \dfrac{12}{7}.}$

Decimal Form

Decimal form of $\rm\dfrac{12}{7}$ is approximately 1.71.

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Answer 2

$\mathtt\red{Data \: Given \: In \: the \: Question :-}$

$\sf : \rightarrow \sqrt{ \frac{1.44}{0.49} }$

$\mathtt\green{What \: We \: Have \: To \: Do:-}$

$\sf : \rightarrow \: we \: have \: to \: find \: the \: value.$

$\mathtt\blue{Let's \: Start:-}$

$\sf \longrightarrow \: \sqrt{ \frac{1.44}{0.49} }$

$\sf \longrightarrow \: \sqrt{ \frac{144 \times \cancel {100}}{49 \times \cancel{100}} }$

$\sf \longrightarrow \: \sqrt{ \frac{144}{49} }$

$\longrightarrow \sf \boxed { \frac{12}{7} }$

Hence,

• $\sf \boxed{ \sqrt{ \frac{1.44}{0.49} } = \frac{12}{7} }$