Question

Simplify 7 √ 3 2 − 6 √ 7 2

Answer 1

Answer: $-10\sqrt{2}$

Step-by-step explanation:

  $7\sqrt{32} - 6\sqrt{72}$

= $7\sqrt{(2*2)*(2*2)*2} - 6\sqrt{(2*2)*2*(3*3)}$

= $7*2*2\sqrt{2} - 6*2*3\sqrt{2}$

= $28\sqrt{2} - 36\sqrt{2}$

Now that they have the same radical, we can subtract their coefficents

= $(28 - 36)\sqrt{2}$

= $-8\sqrt{2}$