| a) (6 + √3)/(3√3) | * √3 |
| = √3(6 + √3)/9 = (6√3 + 3)/9 = 3(2√3 + 1)/9 =(2√3 + 1)/3 |
| |
| b) (4 + √8)/(2√2) | * √2 |
| = √2(4 + √8)/4 = (4√2 + √2√8)/4 = (4√2 + 4)/4 |
| = 4(√2 + 1)/4 = √2 + 1 |
| |
| c) (√32 + √2)/(5√2) | * √2 |
| = √2(√32 + √2)/10 = (√64 + 2)/10 = (8 + 2)/10 = 1 |
| |
| d) (√5 + √3)/(√3√5) | * √3√5 |
| = √3√5(√5 + √3)/15 = (5√3 + 3√5)/15 |
| |
| e) 6√12/(2√2√3) | * √2√3 |
| = 6√2√3√12/12 = 6√2√36/12 |
| = 36√2/12 = 3√2 |
| |
| f) (2√18 - √108)/(3√8√12) |
| = (2√18 - √108)/(12√2√3) | * √2√3 |
| = √2√3(2√2√9 - √3√4√9)/72 |
| = √2√3(6√2 - 6√3)/72 = (2√3 - 3√2)/12 |
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