Question

Square root of 75 plus square root of 3

Answer 1

Answer:
6√3

Explanation:
Before we begin, remember the following:
$\sqrt{a*b} = \sqrt{a} * \sqrt{b}$
$m \sqrt{a} + n \sqrt{a} = (m+n) \sqrt{a}$

Now, for the given:
75 can be written as 25*3
This means that:
$\sqrt{75} = \sqrt{25*3}$
Applying the above concept, we can find that:
$\sqrt{75} = \sqrt{25*3} = \sqrt{25} * \sqrt{3}$
Now, we know that:
√25 = 5 (we ignored the negative value)

This means that:
√75 = 5√3

Finally, we can compute the needed sum as follows:
√75 + √3 = 5√3 + √3 = 6√3

Hope this helps :)

Answer 2

Your answer is: 10.3923048