What is the following quotient? 5/√11-√3

ANSWER

EXPLANATION

The given rational function is

We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of

which is

When we rationalize we obtain:

The denominator is now a difference of two squares:

We apply this property to get

This simplifies to

Or

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.