Question

simplify the following expression (√3 - √6 ) ^2 ​

Answer 1

Step-by-step explanation:

(√3 - √6 ) ^2

= 3-6 ( cancelled square root)

= -3

Answer 2

Answer:

$( \sqrt{3 } - \sqrt{6} )^{2} \\ = ( \sqrt{3} )^{2} - 2( \sqrt{3} )( \sqrt{6} ) + ( \sqrt{6} ) ^{2} \\ = 3 - 2 \sqrt{3} ( \sqrt{6} ) + 6 \\ = 3 - 2 \sqrt{18} + 6 \\ = 9 - 2 \sqrt{18} \\ = 9 - 2 \sqrt{9 \times 2} \\ = 9 - 2 \times 3 \sqrt{2} \\ = 9 - 6 \sqrt{2}$