The value of sqrt{12sqrt{5} + 2sqrt{55}} is | vedclass

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(C) Given expression: $\sqrt{12\sqrt{5} + 2\sqrt{55}}$Factor out $\sqrt{5}$ from the expression inside the square root:$= \sqrt{\sqrt{5}(12 + 2\sqrt{1

Vedclass · Accepted Answer

$5^{1/4}(\sqrt{11} + 1)$

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(C) Given expression: $\sqrt{12\sqrt{5} + 2\sqrt{55}}$Factor out $\sqrt{5}$ from the expression inside the square root:$= \sqrt{\sqrt{5}(12 + 2\sqrt{11})}$$= 5^{1/4} \sqrt{12 + 2\sqrt{11}}$We can write $12$ as $11 + 1$:$= 5^{1/4} \sqrt{11 + 1 + 2\sqrt{11 	imes 1}}$Using the identity $\sqrt{a + b + 2\sqrt{ab}} = \sqrt{a} + \sqrt{b}$:$= 5^{1/4} (\sqrt{11} + \sqrt{1})$$= 5^{1/4}(\sqrt{11} + 1)$

The value of $\sqrt{12\sqrt{5} + 2\sqrt{55}}$ is

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