Question

find the value of {root15+10 root 2} + {root 15 -10 root 2}​

Answer 1

SOLUTION

TO DETERMINE

$\sf{ \bigg( \sqrt{15} + 10 \sqrt{2} \bigg) +\bigg( \sqrt{15} - 10 \sqrt{2} \bigg) }$

EVALUATION

Here the given number is

$\sf{ \bigg( \sqrt{15} + 10 \sqrt{2} \bigg) +\bigg( \sqrt{15} - 10 \sqrt{2} \bigg) }$

First number

$\sf{ = \bigg( \sqrt{15} + 10 \sqrt{2} \bigg) }$

Second number

$\sf{ = \bigg( \sqrt{15} - 10 \sqrt{2} \bigg) }$

Hence required sum

$\sf{ = \bigg( \sqrt{15} + 10 \sqrt{2} \bigg) +\bigg( \sqrt{15} - 10 \sqrt{2} \bigg) }$

$\sf{ \sqrt{15} + 10 \sqrt{2} + \sqrt{15} - 10 \sqrt{2} }$

$\sf{ = 2 \sqrt{15} }$

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