Question

if √784=28, then find the value of √7.84+√0.0784 the answer is 3.08 know ​

Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{\sqrt{784}=28}$

$\underline{\textbf{To find:}}$

$\textsf{The value of}$

$\mathsf{\sqrt{7.84}+\sqrt{0.0784}}$

$\underline{\textbf{Solution:}}$

$\mathsf{Consider,}$

$\mathsf{\sqrt{7.84}+\sqrt{0.0784}}$

$\mathsf{=\sqrt{\dfrac{784}{100}}+\sqrt{\dfrac{784}{10000}}}$

$\mathsf{=\dfrac{\sqrt{784}}{\sqrt{100}}+\dfrac{\sqrt{784}}{\sqrt{10000}}}$

$\mathsf{=\dfrac{28}{10}+\dfrac{28}{100}}$

$\mathsf{=2.8+0.28}$

$\mathsf{=3.08}$

$\implies\boxed{\mathsf{\sqrt{7.84}+\sqrt{0.0784}=3.08}}$

Answer 2

Step-by-step explanation:

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