Question

8.0
---
G) Rationalize the denominator
-
au
+ 303​

Answer 1

Answer:

Explanation:

Rationalising the denominator means 'removing' the radical from the denominator and leaving a rational value in it's place.

To do this we make use of the following fact.

∣∣ ∣∣¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯aa√a×√a=aaa∣∣−−−−−−−−−−−−−−−−

⇒√2×√2=2 a rational number

Since this is a fraction we must also multiply the numerator by √2

⇒8√2=8√2×√2√2

=8√22=84√221=4√2 in simplest form