The value of: \sqrt{10+\sqrt{24+\sqrt{131+\sqrt{153+\sqrt{256}}}}

NCHMCT JEE 2019 Question Paper with solutions for online practice

Question : 4 of 200

Marks: +1, -0

The value of:

√{10+√{24+√{131+√{153+√{256}}}}}

Solution:

√{10+√{24+√{131+√{153+√{256}}}}}

=√{10+√{24+√{131+√{153+16}}}}

=√{10+√{24+√{131+√{169}}}}

=√{10+√{24+√{131+13}}}

=√{10+√{24+√{144}}}=√{10+√{24+12}}

=√{10+√{36}}=√{10+6}=√{16}=4

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