\sqrt{427 + \sqrt{181+\sqrt?}=21

NIACL Model Paper 7 with solutions for free online practice

Question : 35 of 100

Marks: +1, -0

√{427 + √{181+√?}}=21

Solution:

√{427 + √{181+√?}}=21

On squaring both sides,

427 + √{181+√{?}} = 21^2 = 441

⇒

√{181+√{?}} = 441 - 427 = 14

On squaring again,

181 + √{? }= 14^2 = 196

⇒

√{? } = 196- 181 = 15

∴

?= 15 × 15 = 225

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