Question

3-2 root of 2 / 3+2 root of 2 simplify each of the following by rationalising the denominator ​

Answer 1

Answer:

3-2√3/3+2√2

multiply numerator and denominator by the conjugate of the denominator 3-2√2

{(3-2√2)(3-2√2})/{(3+2√2)(3-2√2)}

(3-2√2)^2/(9 - 8) [ (a + b)(a - b) = a^2 - b^2]

(9 + 8 - 12√2)

= 17 - 12√2

Answer 2

Answer:

Step-by-step explanation:

3-2√3/3+2√2

multiply numerator and denominator by the conjugate of the denominator 3-2√2

{(3-2√2)(3-2√2})/{(3+2√2)(3-2√2)}

(3-2√2)^2/(9 - 8) [ (a + b)(a - b) = a^2 - b^2]

(9 + 8 - 12√2)

= 17 - 12√2