Question

5/(6-4sqrt7)-(8-5sqrt7)

Answer 1

\[\frac{ 5 }{ (6-4√7)-(8-5√7) }\]

Answer 2

Simplify or solve?
If solve..just use a calculator

Answer 3

simplify

Answer 4

I got:
\[\frac{ 10+5√7 }{ 3 }\]

Answer 5

can you show how you got that ?

Answer 6

distribute the minus sign in the denominator and simp the bottom first.

Answer 7

By the way , you are correct @lornbeach . EXCELLENT work!

Answer 8

You are correct, lornbeach

Answer 9

thank youu (:

Answer 10

yw

Answer 11

You're welcome.

Answer 12

By the way check if you did the same :
\[\cfrac{5}{6 - 4\sqrt{7} \color{blue}{-8 + 5\sqrt{7}}}\]
\(\cfrac{5}{\color{blue}{6-8} \color{red}{ + 5\sqrt{7} - 4\sqrt{7}}}\)
\(\cfrac{5}{-2 + \sqrt{7}}\)
\(\cfrac{5 \color{orange}{(\sqrt{7} +2)}}{(-2 + \sqrt{7})\color{orange}{(\sqrt{7} + 2)}}\)
\(\cfrac{10 + 5\sqrt{7}}{7-4}\)
\(\cfrac{10 + 5\sqrt{7}}{3}\)