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Vladimir [108]
3 years ago
13

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

Mathematics
1 answer:
DerKrebs [107]3 years ago
5 0

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}

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