Question

Simplify in radical form
2-√12 / 3+√5

Two minus radical twelve over three plus radical five. I believe I have to multiply by the conjugate but it’s coming out to a weird answer, could anyone solve and explain thanks.

Answer 1

parentheses help clarify ... (2-√12) / (3+√5)
... it's a different problem without them

multiplying by conjugate (FOIL) ... (6 - 2√5 - 3√12 + √60) / (9 - 5)

6 - 2√5 - 6√3 + 4√15) / 4 ... (3 - √5 - 3√3 + 2√15) / 2

Answer 2

I'll assume you meant
(2-√12) / (3+√5)
2(1-√3) / (3+√5)
2(1-√3)(3-√5) / (3+√5)(3-√5)
2(3-3√3-√5+√15)/(9-5)
(√3-1)(√5-3)/2