This is a video lecture about the square root function. The square root function is introduced as being part of the inverse relation of the square function. This is a great video to watch to catch up on the idea of functions and their inverses. Just before the six minute mark, the cube root function is introduced in a similar way. So, if you are only interested in learning about the square root function, minutes 6-15:30 can be skimmed through as those discuss inverses and the cubic functions. However, starting at 15:30 the square root function's properties and graph are discussed at length, you don't want to miss this. But again, 18:50-21:30 can be skimmed over as the cubic function's properties are discussed at length. Finally in the remaining 4 minutes or so of the video, transformation of the radical and cubic functions are reviewed along with domains and ranges and these are very useful exercises to review.
For each of the six problems provided, work out your solution on paper. Hover the mouse over the "ANSWER" square to see if you are correct. Click the solution button to see the problem correctly worked out.
The speed of a tsunami wave is equal to the square root of the product of 9.8 (gravity) and the depth of the water. So as the waves approach land their speed decreases and their height will increase. In general the power of a wave is proportional to the square root of the wavelength; this is true for all waves, not just tsunami waves.
25 interesting facts about square roots! My favorite...fact #22. All perfect squares end in 1, 4, 6, 9, 00, or 25. And any number ending in 2, 3, 5 (not 25), 7, 8, or 0 (not 00) is NOT a perfect square.