How do you evaluate 4! \div \sqrt { 12} + \sqrt { \frac { 4} { 4} } \times 4.4?

1 Answer
Sep 15, 2017

4sqrt(3)+4.4 or 11.33.

Explanation:

First of all, 4! is 4*3*2*1 or 24.
Next, sqrt(4/4) is sqrt(1), so that is just 1.
sqrt(12) is 2sqrt(3).
After simplifying things, we get:
24/(2sqrt(3)) + 1*4.4 = 12/sqrt(3) + 4.4
For the fraction, multiply numerator and denominator by sqrt(3).
12sqrt(3)/(sqrt(3))^2+4.4 = 12sqrt(3)/3+4.4 = 4sqrt(3)+4.4
And that's the answer!

The decimal answer to the nearest hundredth is 11.33.