Question

simplify 3 under root 45 - under root 125 + under root 200 - under root 50

Answer 1

Heya !!!




45 = 3 × 3 × 5



125 = 5 × 5 × 5


200 = 2 × 2 × 2 × 5 × 2



And,


50 = 2 × 5 × 5



Therefore,


3✓45 - ✓125 + ✓200 - ✓50

=> 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

=> 9✓5 - 5✓5 + 10✓2 - 5✓2

=> 4✓5 + 5✓2....Ans.

HOPE IT WILL HELP YOU..... ;-)

Answer 2

Hi,

Here is your answer,

3√45 -√125 +√200 -√50

3√3(3)(5) -√5(5)³ +√2(2)²(5)² -√2(5)²

→ (3)3√5 -5√5 + 2 × 5√2 -5√2

→ 9√5 -5√5 +10√2 -5√2

→ 4√5 + 5√2


Hope it helps you !