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:

3,539,000 in scientific notation is 3.539 x 10⁶

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

To multiply terms with radicals, multiply the coefficients and radicands separately:

8\( \sqrt{4} \) x 9\( \sqrt{9} \)
(8 x 9)\( \sqrt{4 \times 9} \)
72\( \sqrt{36} \)

Now we need to simplify the radical:

72\( \sqrt{36} \)
72\( \sqrt{6^2} \)
(72)(6)
432

To simplify a radical, factor out the perfect squares:

\( \sqrt{175} \)
\( \sqrt{25 \times 7} \)
\( \sqrt{5^2 \times 7} \)
5\( \sqrt{7} \)

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

2\( \sqrt{75} \) - 5\( \sqrt{3} \)
2\( \sqrt{25 \times 3} \) - 5\( \sqrt{3} \)
2\( \sqrt{5^2 \times 3} \) - 5\( \sqrt{3} \)
(2)(5)\( \sqrt{3} \) - 5\( \sqrt{3} \)
10\( \sqrt{3} \) - 5\( \sqrt{3} \)

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