Find the simplified value of \sqrt{5+\sqrt{11+\sqrt{19+\sqrt{29+\sqrt{49}}}}

Madhya Pradesh Police Exam Model Paper 3

Question : 82 of 100

Marks: +1, -0

Find the simplified value of

√{5+√{11+√{19+√{29+√{49}}}}}

Solution:

Given- We have to find the simplified value of

√{5+√{11+√{19+√{29+√{49}}}}}

Calculation-
Considering the given equation

√{5+√{11+√{19+√{29+√{49}}}}}

⇒√{5+√{11+√{19+√{29+7}}}}

⇒√{5+√{11+√{19+√{36}}}}

⇒√{5+√{11+√{}19+6}}

⇒√{5+√{11+5}}

⇒√{5+4}

⇒√9

⇒3

∴ The simplified value is 3.

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