SSC MTS Model Paper 1

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Question : 35 of 150

Marks: +1, -0

The value of

√ { 2 √ ^3 { 4 √ { 2 √ ^3{ 4 √ { 2 √ ^3 { { 4...... } } } } } } }

is

2
$2^2$
$2^3$
$2^5$

Solution:

\x=√ { 2 √ ^3 { 4 √ { 2 √ ^3{ 4 √ { 2 √ ^3 { { 4...... } } } } } } }

On squaring

\x^2={ 2 √ ^3 { 4 √ { 2 √ ^3{ 4 √ { 2 √ ^3 { { 4...... } } } } } } }

On cubing,

\x^6=8×4\x

⇒

\x^5=32=2^5⇒\x=2

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