The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{36}{36}} \)
\( \frac{\sqrt{36}}{\sqrt{36}} \)
\( \frac{\sqrt{6^2}}{\sqrt{6^2}} \)
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To subtract these radicals together their radicands must be the same:

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

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

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{3}{7} \) x \( \frac{4}{8} \) = \( \frac{3 x 4}{7 x 8} \) = \( \frac{12}{56} \) = \(\frac{3}{14}\)