Question

simplify the expression :
( 3 root8 - root 8 ) ( 3root8 - root 8 )​

Answer 1

Step-by-step explanation:

$(3 \sqrt{8 } - \sqrt{8} )(3 \sqrt{8 } - \sqrt{8} )$

$2 \sqrt{8 } \times 2 \sqrt{8}$

$4 \times 8$

$32$

Answer 2

Question:-

Simplify:-

$\bold{ = (3 \sqrt{8} - \sqrt{8} )(3 \sqrt{8} - \sqrt{8} )}$

$\bold{ \underline{{by \: using \: the \: identity \: of \: (a - b) {}^{2} = a {}^{2} - 2ab + b {}^{2} }}}$

$= \bold{(3 \sqrt{8} - \sqrt{8} ) {}^{2} }$

$\bold{ = (3 \sqrt{8} ) {}^{2} - 2 \times 3 \sqrt{8} \times \sqrt{8} + (\sqrt{8} ) {}^{2} }$

$\bold{ = 9 \times 8 - 2 \times 3 \times 8 + 8}$

$\bold{ = 72 - 48 + 8}$

$\bold{= 72 - 40}$

${\bold{ \underline{{ = 32}}}}$