Answer:
Sqrt32 = 4[tex]\sqrt{2}[/tex], Sqrt28 = 2[tex]\sqrt{7}[/tex], Sqrt12 = 2[tex]\sqrt{3}[/tex]
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 [tex]2^{2}[/tex] x [tex]2^{2}[/tex] x 2. It will simplify to:
4[tex]\sqrt{2}[/tex]
Square root of 28:
The prime factors of this number are:
2, and 2
This simplifies to 2[tex]\sqrt{7}[/tex]
Square root of 12:
The prime factors of this are:
3, 2, 2
This simplifies to:
2[tex]\sqrt{3}[/tex]
Answer:
They can not be simplified because they are not perfect squares.
