Operations+with+radicals+Set+6

You basically simplified square roots in solving quadratic equations using the quadratic formula. Give some examples of square roots that can be simplified.

Now that you know about cubes, fourth powers, etc. you can also simplify cube roots, fourth roots, etc. Give some examples.

In order to add two radicals, what needs to be true about the root?

Give a multiplication problem involving radicals with the same root. Chris Lu 3√7 X 6√7

Give a multiplication problem involving radicals with different roots (make sure that it is set up so that your classmate can do some sort of simplifying!) Jeremy Comer--

Simplify the following. Explain your work.

2√25 x 12√7 x 3√56

Chris Lu- 2(5) x 12√7 x 3√7√8 Square root of 25 is 5. Cannot simplify 12√7. √56=√7√8 10 x 12√7 x 3(2)√7√2 2 times 5=10. √8 equals √4√2. √4 equals two. 10 x 12√7 x 6√14 3 times 2=6. √7√2=√14. 720√98 Combine terms. 720(7)√2 √98 = √49√2. √49 = 7 5040√2 7 times 720=5040

Give a division problem involving radicals with the same root.

Give a division problem involving radicals with different roots (make sure that it is set up so that your classmate can do some sort of simplifying!)

Sarah Schwartz: (5√768) / (√3)

Sam Heymans Answer:

(5√(16)(48))/ √3 (80√(3)(16))/ √3 320√3/√3

Sarah Schwartz: I got 80 as my answer. 768 is 256 x 3, which turns into 5x16√3. That is 80√3 / √3. Just cancel out those radicals and you're left with 80.