Need help with a maths question

I need to express this equation with a rational denominator
(√8 +3)/(√18 +2)
any help would be great.

1. Multiply the top and bottom of the equation by (√18 -2). This is to get rid of the square root sign.

2. If you multiply the bottom correctly, you should get (18-2√18+2√18-4) on the bottom.
This simplifies to 18-4, which is 14 on the bottom.

3. We also need to multiply the bottom by (√18 -2) because we multiplied the bottom by it.
This should get:
(√144+3√18-2√8-6)
That simplifies to (12+3√18-2√8-6), which is 6+3√18-2√8

3. 3√18 and 2√8 can both be simplified further: 3√18 = 9√2, and 2√8 = 4√2. We add these together to get our final of 5√2+6 on the top and 14 on the bottom.

Final answer: (5√2+6)/14

Multiply numerator and denominator by the conjugate of the denominator

(√8 + 3)*(√18 - 2)/[[√18 + 2)(√18 - 2)]

(√(8*18) - 2√8 + 3√18 - 6)/(18-4)

(√144 - 4√2 + 9√2 - 6)/14

(6+5√2)/14