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Real Numbers — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsReal Numbers2 Marks
Question
$\sqrt{100+36} ? \sqrt{100}+\sqrt{36}$
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Answer

$
\begin{aligned}
& \sqrt{100+36}=\sqrt{136}=2 \sqrt{34} \\
& \sqrt{100}+\sqrt{36}=10+6=16 \\
\therefore \quad & \sqrt{100+36} \neq \sqrt{100}+\sqrt{36}
\end{aligned}
$
From the above examples,
$
\sqrt{a+b} \neq \sqrt{a}+\sqrt{b}
$

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