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:

\( \sqrt{\frac{25}{81}} \)
\( \frac{\sqrt{25}}{\sqrt{81}} \)
\( \frac{\sqrt{5^2}}{\sqrt{9^2}} \)
\(\frac{5}{9}\)

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.3km + 50.3km + 8.9km
total distance = 59.5km

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:

6c⁶ + 9c⁶
(6 + 9)c⁶
15c⁶

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

-4x² - 7x²
(-4 - 7)x²
-11x²

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

7\( \sqrt{32} \) - 4\( \sqrt{2} \)
7\( \sqrt{16 \times 2} \) - 4\( \sqrt{2} \)
7\( \sqrt{4^2 \times 2} \) - 4\( \sqrt{2} \)
(7)(4)\( \sqrt{2} \) - 4\( \sqrt{2} \)
28\( \sqrt{2} \) - 4\( \sqrt{2} \)

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