Question

rationalise denominator of 18/3root2-2root3​

Answer 1

Answer:

3(3√2 + 2√3)

Step-by-step explanation:

18/(3√2 - 2√3)

18/(3√2 - 2√3) × (3√2 + 2√3)/(3√2 + 2√3)

18(3√2 + 2√3)/(3√2 - 2√3)(3√2 + 2√3)

we know that, (a+b)(a-b) = a² - b²

Similarly, (3√2 - 2√3)(3√2 + 2√3) = (3√2)² - (2√3)² = 18 - 12 = 6

18(3√2 + 2√3)/6

= 3(3√2 + 2√3)