Answer:
The answer is 2√15 .
Step-by-step explanation:
Using Indices Law :
[tex] \sqrt{a} \times \sqrt{b} = \sqrt{ab} [/tex]
[tex] \sqrt{ - 6} \times \sqrt{ - 10} [/tex]
[tex] = \sqrt{ - 6 \times - 10} [/tex]
[tex] = \sqrt{60} [/tex]
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 :
[tex] \sqrt{60} [/tex]
[tex] = \sqrt{4 \times 15} [/tex]
[tex] = \sqrt{4} \times \sqrt{15} [/tex]
[tex] = 2 \times \sqrt{15} [/tex]
[tex] = 2 \sqrt{15} [/tex]
