Ask your own question, for FREE!
Mathematics 11 Online
OpenStudy (anonymous):

Hey, please help:)

OpenStudy (anonymous):

\[3 \sqrt[3]{24}\]

OpenStudy (klimenkov):

Hint:\[\sqrt[3]{24}=\sqrt[3]{8\cdot3}=\sqrt[3]8\cdot\sqrt[3]{3}\]

OpenStudy (anonymous):

Thank you!

OpenStudy (klimenkov):

Can you write the answer?

OpenStudy (anonymous):

\[6\sqrt[3]{3}\]

OpenStudy (klimenkov):

Very nice.

OpenStudy (anonymous):

Could you help me with another question?

OpenStudy (anonymous):

\[3\sqrt{x+4}-2=13\]

OpenStudy (klimenkov):

What is the problem?

OpenStudy (klimenkov):

What cant you do?

OpenStudy (klimenkov):

Solve for \(\sqrt{x+4}\).

OpenStudy (klimenkov):

Hey! Are you here?

OpenStudy (anonymous):

Yes, I am sorry

OpenStudy (anonymous):

couldn't I just do 4-2 giving me 2 so then I do x+2=13?

OpenStudy (anonymous):

x+2=13 -2 -2 x=11

OpenStudy (anonymous):

idk

OpenStudy (klimenkov):

Can you solve \(3y-2=13\) ?

OpenStudy (anonymous):

y=5

OpenStudy (klimenkov):

Yes. Think if \(y=\sqrt{x+4}\).

OpenStudy (klimenkov):

If you make a substitution \(y=\sqrt{x+4}\), you will get \(\sqrt{x+4}=5\). Do you know what \(\sqrt{\phantom{a}}\) sign means?

OpenStudy (anonymous):

square root

OpenStudy (klimenkov):

What does square root means?

OpenStudy (anonymous):

a number multiplied by itself?

OpenStudy (klimenkov):

Can you tell me what does \(\sqrt{16}\) mean?

OpenStudy (anonymous):

4?

OpenStudy (klimenkov):

Yes. But Also -4 too. -4*(-4)=16. So what can you say about \(\sqrt{x+4}=5\) ?

OpenStudy (anonymous):

x=1?

OpenStudy (anonymous):

I don't think I know

OpenStudy (klimenkov):

See the analogy. Try to think. Compute \(\sqrt{36}, \sqrt{25}, \sqrt{\frac14}\).

OpenStudy (anonymous):

alright. 6,5,2

OpenStudy (klimenkov):

Check the last one.

OpenStudy (klimenkov):

\(\sqrt x\) is the inverse function for \(x^2\). \(\sqrt x\) is a number that squared must be \(x\). \((\sqrt x )^2=x\). Think about last one.

OpenStudy (anonymous):

I still think it's1

OpenStudy (klimenkov):

Compute \(\sqrt{\frac14}\).

OpenStudy (anonymous):

2

OpenStudy (klimenkov):

\(2^2\neq\frac14\)

OpenStudy (klimenkov):

Try again.

OpenStudy (anonymous):

1/4

OpenStudy (klimenkov):

\(\left(\frac14\right)^2\neq\frac14\). Try again.

OpenStudy (anonymous):

So I have to square it?

OpenStudy (klimenkov):

You have to find \(\sqrt{\frac14}\) using the definition I wrote above.

OpenStudy (anonymous):

.5

OpenStudy (anonymous):

.5*.5=1/4

OpenStudy (klimenkov):

Yes. Thats it. Now back to \(\sqrt{x+4}=5\). Can you solve it?

OpenStudy (anonymous):

Would I plug something in x?

OpenStudy (klimenkov):

Ok. Can you solve this: \(\sqrt x = 2\) ?

OpenStudy (anonymous):

4

OpenStudy (klimenkov):

Yes. Thats it. Now back to \(\sqrt{x+4}=5\). Can you solve it?

OpenStudy (anonymous):

25?

OpenStudy (klimenkov):

\(\sqrt{25+4}\neq5\)

OpenStudy (anonymous):

21

OpenStudy (klimenkov):

Bingo. You solved this by your own. Congratulations!

OpenStudy (anonymous):

It has to be that's why thought of 25 =5

OpenStudy (anonymous):

Thank you:)!!

OpenStudy (klimenkov):

You are welcome.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!