Question

Simplify: 3√45 - √125 + √200 - √50

Answer 1

Answer:

16√5 + 75√2

Step-by-step explanation:

->[3  × √3 × √3 × √5] - [√5 × √5 × √5] + [√2 × √2 × √2 × √5 × √5]  - [√2 × √5 × √5]

->[3 × 3 × √5] - [5 × √5] + [2 × 5 × √2] - [5 × √2]

->3√5 - 5√5 + 10√2 - 5√2

->√5(3 - 5) + √2(10 - 5)

->(-2√5) + 5√2

Answer 2

4√5 + 5√2

Step-by-step explanation:

3√45 - √125 + √200 - √50

$3\sqrt{3 \times 3 \times 5} - \sqrt{5 \times 5 \times 5} + \sqrt{5 \times 5 \times 2 \times 2 \times 2} - \sqrt{5 \times 2 \times 5}$

9√5 - 5√5 + 2×5√2 - 5√2

9√5 - 5√5 + 10√2 - 5√2

4√5 + 5√2