Question

Pls take a look at the picture! It should be easy if you know radicals.

Answer 1

The answer is 2√15 .

Explanation:

Using Indices Law :

`√(a) * √(b) = √(ab)`

`√( - 6) * √( - 10)`

`= √( - 6 * - 10)`

`= √(60)`

Next, you have to find the common factors of 60 :

60 = 1×60

60 = 2×30

60 = 3×20

60 = 4×15

60 = 5×12

60 = 6×10

In order to simplify, we have to choose a perfect square from the factors above. In the factors above, 4 is a perfect square so that we can square root it :

`√(60)`

`= √(4 * 15)`

`= √(4) * √(15)`

`= 2 * √(15)`

`= 2 √(15)`