Question

√20-√125+√425; (√99-√44)√11;

Answer 1

√20-√125+√425 = 2√5 - 5√5 +  5√17 = 5√17 - 3√5

(√99-√44)√11 = (3√11 - 2√11)√11 = (√11)² = 11

Answer 2

Let's simplify the given expressions step by step:

1. √20 - √125 + √425

First, let's simplify the square roots individually:

√20 = √(4 * 5) = √4 * √5 = 2 * √5 √125 = √(25 * 5) = √25 * √5 = 5 * √5 √425 = √(25 * 17) = √25 * √17 = 5 * √17

Now, substitute these values back into the original expression:

√20 - √125 + √425 = 2 * √5 - 5 * √5 + 5 * √17

Next, combine like terms:

2 * √5 - 5 * √5 = -3 * √5

The final simplified expression is:

-3 * √5 + 5 * √17

2. (√99 - √44) * √11

Again, let's simplify the square roots individually:

√99 = √(9 * 11) = √9 * √11 = 3 * √11 √44 = √(4 * 11) = √4 * √11 = 2 * √11

Now, substitute these values back into the original expression:

(√99 - √44) * √11 = (3 * √11 - 2 * √11) * √11

Next, combine like terms:

3 * √11 - 2 * √11 = 1 * √11

The final simplified expression is:

√11