Question

Can someone show me the steps to solve this

Answer 1

Answer:

$87 - 18 \sqrt{6}$

Step-by-step explanation:

We want to expand:

$( \sqrt{6} - 9)^{2}$

We expand to get:

$( \sqrt{6} - 9)( \sqrt{6} - 9)$

$\sqrt{6} ( \sqrt{6} - 9) - 9( \sqrt{6} - 9)$

We expand using the distributive property to get:

$6 - 9 \sqrt{6} - 9 \sqrt{6} + 81$

$6 - 18 \sqrt{6} + 81$

Finally simplify to get:

$87- 18 \sqrt{6}$