The greatest common factor (GCF) is the greatest factor that divides two integers.

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

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

2\( \sqrt{48} \) + 8\( \sqrt{3} \)
2\( \sqrt{16 \times 3} \) + 8\( \sqrt{3} \)
2\( \sqrt{4^2 \times 3} \) + 8\( \sqrt{3} \)
(2)(4)\( \sqrt{3} \) + 8\( \sqrt{3} \)
8\( \sqrt{3} \) + 8\( \sqrt{3} \)

Now that the radicands are identical, you can add them together:

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

6y⁴ + 2y⁴
(6 + 2)y⁴
8y⁴

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:

\( \sqrt{\frac{36}{25}} \)
\( \frac{\sqrt{36}}{\sqrt{25}} \)
\( \frac{\sqrt{6^2}}{\sqrt{5^2}} \)
\( \frac{6}{5} \)
1\(\frac{1}{5}\)