Simplify:$\sqrt{0.01+\sqrt{0.0064}}$.

Given: Term $\sqrt{0.01+\sqrt{0.0064}}$.

To do: To simplify: $\sqrt{0.01+\sqrt{0.0064}}$.

Solution:

Given term: $\sqrt{0.01+\sqrt{0.0064}}$

$=\sqrt{0.01+\sqrt{0.08\times0.08}}$           [$\because 0.0064=0.08\times0.08$]      

$=\sqrt{0.01+0.08}$

$=\sqrt{0.09}$

$=\sqrt{0.3\times0.3}$                        [$\because 0.09=0.3\times0.3$]

$=0.3$  

Thus, $\sqrt{0.01+\sqrt{0.0064}}=0.3$.

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Updated on: 10-Oct-2022

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