Question

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

Answer 1

Answer:

2 sqrt(5)

Step-by-step explanation:

sqrt(20)

sqrt(4*5)

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

sqrt(4) sqrt(5)

2 sqrt(5)

Answer 2

Answer:

$2\sqrt{5v}$

Step-by-step 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.

$\sqrt{20v} = \sqrt{4\cdot5v}$

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

$2\sqrt{5v}$.

Hope this helped!