Evaluate sqrt{41-sqrt{21+sqrt{19-sqrt{9}}}} | vedclass

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Question

(C) To evaluate the expression $\sqrt{41-\sqrt{21+\sqrt{19-\sqrt{9}}}}$,we solve from the innermost square root outwards.Step $1$: Evaluate $\sqrt{9}

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(C) To evaluate the expression $\sqrt{41-\sqrt{21+\sqrt{19-\sqrt{9}}}}$,we solve from the innermost square root outwards.Step $1$: Evaluate $\sqrt{9} = 3$.Step $2$: Substitute this into the next term: $\sqrt{19-3} = \sqrt{16} = 4$.Step $3$: Substitute this into the next term: $\sqrt{21+4} = \sqrt{25} = 5$.Step $4$: Finally,evaluate the outermost term: $\sqrt{41-5} = \sqrt{36} = 6$.Thus,the value of the expression is $6$.

Evaluate $\sqrt{41-\sqrt{21+\sqrt{19-\sqrt{9}}}}$

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