For this case we have the expression:
"the square root of 4" is represented algebraically as:
[tex]\sqrt {4}[/tex]
Then, we can express the given statement as:
[tex]3 \sqrt {4} -2 \sqrt {4} =[/tex]
They are similar terms, we can subtract:
[tex]3 \sqrt {4} -2 \sqrt {4} = \sqrt {4} = \sqrt {2 ^ 2}[/tex]
By definition of power properties we have that:
[tex]\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a[/tex]
Then the expression is reduced to:
[tex]\sqrt {2 ^ 2} = 2[/tex]
Answer:
[tex]3 \sqrt {4} -2 \sqrt {4} = 2[/tex]
