Question

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

Answer 1

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