Question

Simplify by rationalizing the denominator 6 / (3√2) – (2√3)

Answer 1

Answer: a = -2

Step-by-step explanation:

6/(3√2-2√3)

Here we have to rationalise the denominator,

Rationalising factor = (3√2+2√3)

=6/(3√2-2√3)×(3√2+2√3)/(3√2+2√3)

=6(3√2+2√3)/(3√2-2√3)(3√2+2√3)

=(18√2+12√3)/[(3√2)²-(2√3)²]

=(18√2+12√3)/(9(2)-4(3))

=(18√2+12√3)/18-12

=(18√2+12√3)/6

=(18√2/6)+(12√3/6)

=3√2+2√3

=3√2-(-2√3)

Compare this with 3√2-a√3

3√2-(-2√3)=3√2-a√3

Therefore a= -2

Hope this may help u ☺❤✔

Answer 2

Answer:

-2.04

Step-by-step explanation:

=6/4.24-2root3

=1.41-3.46

=-2.05