Question

SIMPLE QUESTIONEvaluate:(square root of 99 - square root of 11)^2

Answer 1

Answer:

44

Step-by-step explanation:

$(\sqrt{99} - \sqrt{11})^2 =$

$= (\sqrt{9 \times 11} - \sqrt{11})^2$

$= (3\sqrt{11} - \sqrt{11})^2$

$= (2\sqrt{11})^2$

$= 2^2 \times (\sqrt{11})^2$

$= 4 \times 11$

$= 44$

Answer: 44