\sqrt{8-2 \sqrt{15}=?

RRB RPF RPSF SI and CONS Model Papers 4 with solutions

Question : 107 of 122

Marks: +1, -0

√{8-2 √{15}}=?

Solution:

(2) It can be written as:

=√{5 +3-2 √{5} √{3}}

=√{(√{5})^{2}+(√{3})^{2}-2 \√{5}√{3}}

It can also be written as:

=√{(√{5}-√{3})^{2}}

=√{5}-√{3}

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