Question

Finishing up an assignment, but I just don't get these questions.

1. Rationalize the denominator of 4/6-√7
2. (x^2/3)^4/5
3. Simplify (4-8i)(2-7i) - imaginary numbers
4. Rationalize the denominator of 3/5-6i
5. x^2/5 • x^2/9
6. 81^-3/4
7. (9+2√6)(6-√6)
8. i^12
9. √x-8 + 8 = x
10. 4x^5/6
11. 4√98
12. (7+i)-(6-2i)
13. A fraction has a denominator of 5 + 2i. What is multiplied with the fraction to rationalize the fraction?

Thank you so much

Answer 1

One thing at a time.
1. Do you mean \[4/(6-\sqrt{7})\]?

Answer 2

If so, you want the denominator to be a rational number. So you have to multiply the denominator by 6 + √7. What do you get then?

Answer 3

@skltngrl

Answer 4

@Nory 36- √49?

Answer 5

Pretty much. But that can be simplified, because √49 = 7. What do you get then, after doing the subtraction?

Answer 6

What I got wasn't any of my answer options :(

Answer 7

A reasonable concern.
Because if you multiply the denominator by a number, you have to multiply the numerator by it, too. Multiply the numerator by 6 + √7, too. Now what do you get?

Answer 8

But I thought the denominator had to be -1? Because 6-7?

Answer 9

Still need help?

Answer 10

Yes please

Answer 11

Which one?

Answer 12

All of them. :c

Answer 13

@primeralph Hello?