Question

3√5а - √20а + 4√45а = ?​

Answer 1

3√5а - √20а + 4√45а = 3$>a - <img src=$a + 4$\sqrt{9*5}$a =  3$\sqrt{5}$a -2 $\sqrt5}$a + 12$\sqrt{5}$a = 13$>a</p> </div> <div class=$ 0 0

Answer 2

To simplify the expression, we can start by simplifying the square roots of the numbers inside the radicals. Let's break it down step by step:

1. Simplify the square roots inside the radical: √5 = √(1 × 5) = √1 × √5 = 1 × √5 = √5 √20 = √(4 × 5) = √4 × √5 = 2 × √5 √45 = √(9 × 5) = √9 × √5 = 3 × √5

2. Substitute the simplified square roots back into the expression: 3√5а - √20а + 4√45а = 3(√5)а - (√20)а + 4(√45)а = 3(√5)а - 2(√5)а + 4(3(√5)а) = 3а√5 - 2а√5 + 12а√5

3. Combine like terms: (3а - 2а + 12а)√5 = 13а√5

Therefore, 3√5а - √20а + 4√45а simplifies to 13а√5.