Question

Find the value of a in the following : 6/(3✓-2✓3). =3✓2-a✓3​

Answer 1

Answer:

No idea Sorry about this it is not a big one but it's

Answer 2

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