Question

please help

Answer 1

5. simplify the radical expression
\[\sqrt{490y ^{5}}w ^{6}\]

Answer 2

First take out the variables. y^2 times y^2 equals y^4, therefore it can be taken out of the square root sign and one y is left. Same with w^3. For 490, you would need to break it down to 49 times 10, then take 49 out because the square root of 49 is 7. Are you following?

Answer 3

yes

Answer 4

So it would look like 7y^2w^3(square root sign)10y

Answer 5

okay :)

Answer 6

ok can you help me with a other one

Answer 7

sure thing

Answer 8

6. \[\sqrt{21y}*5\sqrt{49y}\]

Answer 9

Hm... you can simplify the second part by taking the square root of 49 (which is 7) and multiplying 7 by 5 to get 35 on the outside and leaving y on the inside. I'm not quite sure where to go from there though... hold on a sec

Answer 10

ok

Answer 11

Here's a good link on multiplying radicals: http://www.wikihow.com/Multiply-Radicals

I will try to explain. Firstly, you can only multiply radicals of the same degree (square root, cube root, etc.). Then you just multiply what's in the radical together. Same thing with the outside numbers.

In your example, you would multiply 21y by y to get 21y^2 on the inside and 35 on the outside, and take y out since it's squared.

Your answer will be: 35y(square root sign)21

Answer 12

ok can you do another one

Answer 13

3.\[\sqrt{45}\]

Answer 14

Two factors of 45 are 9 times 5 and since 9 has a perfect square root, it can be taken out. Answer:

3(square root sign)5

Answer 15

ok a couple more

Answer 16

haha ok

Answer 17

4.\[\sqrt{56x^{2}}\]

Answer 18

2x(square root sign)14

Answer 19

7.\[\sqrt{\frac{ 63x ^{15y ^{9}} }{ 7xy ^{11}}}\]

Answer 20

8.\[\sqrt{3}+4\sqrt{3}\]

Answer 21

@Abbles you there

Answer 22

8. is 5(square root)3

Answer 23

ok

Answer 24

9.\[3\sqrt{5}+6\sqrt{45}\]

Answer 25

21(square root)5

Answer 26

How many do you have left?

Answer 27

8

Answer 28

ok do you understand how to do them now?

Answer 29

Do you know how to take square roots?

Answer 30

10.\[(8+\sqrt{11})(8-\sqrt{11})\]

Answer 31

Do you know how to do FOIL?

Answer 32

no

Answer 33

Okay, so start by multiplying the first term by everything in the second set of parenthesis. 8 times 8, 8 times (sqrt)11, so on. The answer to #10 is: 64 - 2(sqrt)33

Answer 34

Hey, can you give me a medal..? :)

Answer 35

thanks, any more questions?

Answer 36

ya 13.\[\sqrt{5x-1}=\sqrt{4x+9}\]

Answer 37

You can cancel out the square roots since they're both on each side. Then solve like normal. Answer is: x = y + 1 .... that is assuming you want the value for x and not y

Answer 38

Otherwise it would be: y = x - 1

Answer 39

ok

Answer 40

11.\[4=\sqrt{p}-2\]

Answer 41

p = 36

Answer 42

ok

Answer 43

12.\[\sqrt{x+3}=3\]

Answer 44

x = 6

Answer 45

Hey, I've gotta fun... do you think you can figure out the rest with the link I sent you? When are these questions due, I can help later tonight

Answer 46

ok