Question

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

Answer 1

Answer:

The answer is 2√15 .

Step-by-step explanation:

Using Indices Law :

$\sqrt{a} \times \sqrt{b} = \sqrt{ab}$

$\sqrt{ - 6} \times \sqrt{ - 10}$

$= \sqrt{ - 6 \times - 10}$

$= \sqrt{60}$

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 :

$\sqrt{60}$

$= \sqrt{4 \times 15}$

$= \sqrt{4} \times \sqrt{15}$

$= 2 \times \sqrt{15}$

$= 2 \sqrt{15}$