SIMPLIFY
1.(3+√2)/√2
2. 4/(1+√3)
3.(3+√5)(1-2√5)
4.(3+√8)/((2√3)-4)
2 answers
Square root.
(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
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