Question

Simplify:
26 62
+
V2+V3 V6+3
8V3
V6+2​

Answer 1

Answer:

0

Step-by-step explanation:

We split the given into 3 pieces for easier conversion:

6/(2√3-√6)+√6/(√3+√2)-4√3/(√6-√2)= (1)+(2)-(3)

(1)--> 6(2√3+√6)/(2√3+√6)(2√3-√6)=6(2√3+√6)/(12-6)=2√3+√6

(2)--> √6(√3-√2)/(√3-√2)(√3+√2)=√6(√3-√2)/(3-2)=√6(√3-√2)=3√2-2√3

(3)--> 4√3(√6+√2)/(√6+√2)(√6-√2)=4√3(√6+√2)/(6-2)=√3(√6+√2)=3√2+√6

Now combine those pieces together:

(1)+(2)-(3)= 2√3+√6+3√2-2√3-(3√2+√6)=0