Question

simplify 6-4root3/6+4root 3correct answer will be marked as brainliest​

Answer 1

Answer:

The simplification is \frac{6-4\sqrt3}{6+4\sqrt3}=4\sqrt3-76+436−43=43−7    

Step-by-step explanation:

Given : Expression \frac{6-4\sqrt3}{6+4\sqrt3}6+436−43

To find : Simplify the expression by rationalizing the denominator?

Solution :

Expression \frac{6-4\sqrt3}{6+4\sqrt3}6+436−43

Rationalizing the denominator by multiplying and divide by denominator,

=\frac{6-4\sqrt3}{6+4\sqrt3}\times\frac{6-4\sqrt3}{6-4\sqrt3}=6+436−43×6−436−43

=\frac{(6-4\sqrt3)^2}{(6+4\sqrt3)^2}=(6+43)2(6−43))