Question

Simplify the following square roots:

Answer 1

Answer:

Sqrt32 = 4$\sqrt{2}$, Sqrt28 = 2$\sqrt{7}$, Sqrt12 = 2$\sqrt{3}$

Step-by-step explanation:

Square root of 32:

First we find the prime factors of the number by making a factor tree.

32 splits into 8 and 4.

8 splits into 4 and 2

4 splits into 2 and 2

4 splits into 2 and 2

This becomes the square root of $2^{2}$ x $2^{2}$ x 2. It will simplify to:

4$\sqrt{2}$

Square root of 28:

The prime factors of this number are:

2, and 2

This simplifies to 2$\sqrt{7}$

Square root of 12:

The prime factors of this are:

3, 2, 2

This simplifies to:

2$\sqrt{3}$

Answer 2

Answer:

They can not be simplified because they are not perfect squares.