Question

SIMPLIFY

1.(3+√2)/√2

2. 4/(1+√3)

3.(3+√5)(1-2√5)

4.(3+√8)/((2√3)-4)

Answer 1

Square root.

Answer 2

(3+√2)/√2 = (3√2 + 2)/2

4/(1+√3) * (√3-1)/(√3-1) = 4(√3-1)/(3-1) = 2(√3-1)

(3+√5)(1-2√5) = 3 -5√5 - 10 = -7-5√5

(3+√8)/((2√3)-4) * (2√3 + 4)/(2√3 + 4)
= (3+√8)(2√3 + 4)/(12-16)
= (6√3 + 2√24 - 12 - 4√8)/-4
= (12 + 8√2 - 6√3 - 4√6)/4