Question

(3√3-2√2)(3√3+2√2)
A) 19
B) 1
C) 8
D) 9​

Answer 1

Step-by-step explanation:

We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get.

Answer 2

Explanation:

$\mathsf{(3\sqrt3-2\sqrt2)(3\sqrt3 + 2\sqrt2)}$

$\mathsf{=(3\sqrt3)^2-(2\sqrt2)^2}$ [∵ $\mathsf{(a-b)(a+b)=a^2 - b^2}$]

$\mathsf{=(9)(3)-(4)(2)}$

$\mathsf{=27-8}$

$\mathsf{=19}$

Answer: 19

I hope this helps. :D