Question

Simplify.
√20
v
Assume that the variable represents a positive real number.

Answer 1

2 sqrt(5)

Explanation:

sqrt(20)

sqrt(4*5)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(4) sqrt(5)

2 sqrt(5)

Answer 2

`2√(5v)`

Explanation:

We can treat 20v as a regular number and not a term.

To simplify this square root, we need to break it down into parts which can be squared.

`√(20v) = √(4\cdot5v)`

Square root of 4 is 2, so that goes outside the radical.

`2√(5v)`.

Hope this helped!