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murzikaleks [220]
1 year ago
14

Simplify. √75 OA. 3√5 OB. 15√5 OC. 25√3 OD. 5√3

Mathematics
1 answer:
Ludmilka [50]1 year ago
6 0

Answer:

Option D

Step-by-step explanation:

Using the surd law :

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

We can find the largest square number that goes into 75 :

Let's write the multiples of 75 :

1 , 75

3 , 25

5 , 15

The only square number is 25

So using the law mentioned above we split √75 into :

√25√3

The square root of 25 is 5

Now we have our final answer of 5√3

Hope this helped and have a good day

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