The square root of 134 +(6292) is - Vidyadip

MCQ

The square root of $134 +\sqrt {(6292)} $ is

A
$21 + \sqrt {(13)} $
✓
$11 + \sqrt {(13)} $
C
$13 + \sqrt {(11)} $
D
$13 + \sqrt {(21)} $

✓

Answer

Correct option: B.

$11 + \sqrt {(13)} $

b
(b) $134 + \sqrt {6292} = [{11^2} + {(\sqrt {13} )^2}] + 2\,.\,11.\sqrt {13} = {(11 + \sqrt {13} )^2}$

$\therefore \,\,\sqrt {134 + \sqrt {62\,92} } = 11 + \sqrt {13} $

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