Question

Simplify (route7 - route2) 2​

Answer 1

Answer:

(√7 - √2) 2

(√5) 2

√5×2=4.47213595

Answer 2

$\huge \boxed{ \red{9 - 2 \sqrt{14} }}$

Step-by-step explanation:

$( \sqrt{7} - \sqrt{2} {)}^{2} \\ \\ = > {( \sqrt{7} )}^{2} - 2( \sqrt{7} )( \sqrt{2} ) + {( \sqrt{2}) }^{2} .... \tiny{by \: formula \: {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} } \\ \\ = > 7 - 2 \sqrt{7 \times 2} + 2 \\ \\ = > 7 + 2 - 2 \sqrt{14} \\ \\ = > 9 - 2 \sqrt{14}$

Hence the simplification is 9 - 2√14.

hope it helps.