Question

What is the answer (6√2)(-3√5)

Answer 1

Solution:

$- 18 \sqrt{10}$

Step-by-step explanation:

1. Apply rule : a(-b) = -ab

$= - 6 \sqrt{2} \: \: • \: \: 3 \sqrt{5}$

2. Apply radical rule : $\sqrt{a} \sqrt{b} = \sqrt{ab}$ , $a \geqslant 0$, $b$

$= 6 \sqrt{2 \: • \: 5} \: • \: 3$

3.Multiply the numbers : 2 • 5 = 10

=$6 \sqrt{10} •3$

4.Multiply the numbers : - 6 • 3= - 18

$= - 18 \sqrt{10}$