To subtract these radicals together their radicands must be the same:

6\( \sqrt{48} \) - 3\( \sqrt{3} \)
6\( \sqrt{16 \times 3} \) - 3\( \sqrt{3} \)
6\( \sqrt{4^2 \times 3} \) - 3\( \sqrt{3} \)
(6)(4)\( \sqrt{3} \) - 3\( \sqrt{3} \)
24\( \sqrt{3} \) - 3\( \sqrt{3} \)

Now that the radicands are identical, you can subtract them:

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

4,375,000 in scientific notation is 4.375 x 10⁶

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

-4x⁵ x 8x⁵
(-4 x 8)x^{(5 + 5)}
-32x¹⁰

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $1,500
i = 0.05 x $1,500

No payments were made so the total amount due is the original amount + the accumulated interest: