The value of sqrt{10+sqrt{25+sqrt{108+sqrt{15 | vedclass

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Question

(A) To find the value of the expression,we evaluate the nested square roots from the innermost to the outermost:Step $1$: Evaluate $\sqrt{225} = 15$.S

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(A) To find the value of the expression,we evaluate the nested square roots from the innermost to the outermost:Step $1$: Evaluate $\sqrt{225} = 15$.Step $2$: Substitute this into the expression: $\sqrt{154 + 15} = \sqrt{169} = 13$.Step $3$: Substitute this into the expression: $\sqrt{108 + 13} = \sqrt{121} = 11$.Step $4$: Substitute this into the expression: $\sqrt{25 + 11} = \sqrt{36} = 6$.Step $5$: Finally,evaluate: $\sqrt{10 + 6} = \sqrt{16} = 4$.Thus,the value is $4$.

The value of $\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+\sqrt{225}}}}}$ is

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