Question

What is the solution to 3 times the square root of 4 minus 2 times the square root of 4? A. 0 B. 1 C. 2 D. 3

Answer 1

For this case we have the expression:

"the square root of 4" is represented algebraically as:

$\sqrt {4}$

Then, we can express the given statement as:

$3 \sqrt {4} -2 \sqrt {4} =$

They are similar terms, we can subtract:

$3 \sqrt {4} -2 \sqrt {4} = \sqrt {4} = \sqrt {2 ^ 2}$

By definition of power properties we have that:

$\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a$

Then the expression is reduced to:

$\sqrt {2 ^ 2} = 2$

Answer:

$3 \sqrt {4} -2 \sqrt {4} = 2$