Question

1. 2√3 + 3√3 + 4√3
2. 3√a + 4√a + 9√a
3. √147 - √48 + √27
4. √27 - √75 + √48
5. 3√3 - 3√18
6. 3√32a2 - 3√2ab
7. √2 - 3√2 -4√2
8.√2 - 3√6

Answer 1

1. 2√3 + 3√3 + 4√3
=> 9√3
2. 3√a + 4√a + 9√a
=> 16√a
3. √147 - √48 + √27
=> √(49 x 3) - √(16 x 3) + √(9 x 3)
=> 7√3 - 4√3 + 3√3
=> 0
4. √27 - √75 + √48
=> √(9 x 3) - √(25 x 3) + √(16 x 3)
=> 3√3 - 5√3 + 4√3
=> 2√3
5. 3√3 - 3√18
=> 3√3 - 3√(9 x 2)
=> 3√3 - 6√2
=> 3(√3 - 2√2)
6. 3√32a² - 3√2ab
=> 3√(16 x 2 x a²) - 3√2ab
=> 12a√2 - 3√2ab
=> 3√2(4a - √ab)
7. √2 - 3√2 - 4√2
=> -6√2
8. √2 - 3√6
=> √2 - 3√(2 x 3)
=> √2 - 3(√2)(√3)
=> √2(1 - 3√3)