Question

Simplify each radical expression. Sqrt 7(sqrt 14+sqrt 3)

Answer 1

Can anyone pls help me on this problem thnx...

Answer 2

Distribute your root7 in as you would any other similar expression.

Answer 3

How u do that pls explain thnx..

Answer 4

Do you know what the distributive property is?

Answer 5

Essentially you "distribute" the multiplicand \(\sqrt{7}\) into the expression inside the parenthesis. So you will multiply both of the terms inside by the term outside.

Answer 6

\(a(b+c)\rightarrow ab+ac\)

Answer 7

I still don't get it..

Answer 8

What exactly is it that is confusing you?

Answer 9

It is not a minus sign, it is an arrow indicating a transition.

Answer 10

Is my answer correct 17

Answer 11

No, this will not give you an integer for an answer. Show me the process, step by step, how you got this number and I will show you where you went wrong.

Answer 12

I'm using this calculator that's how I get the answer so if u could break it down for me ill do my best to understand it

Answer 13

Using your calculator is why you are not understanding the problem.
You have the expression \(\sqrt{7}(\sqrt{14}+\sqrt{3})\) what is your first step?

Answer 14

7^2(14+3) is this right step

Answer 15

Where did the \(7^2\) come from and what how did you get rid of the radical?

Answer 16

Sorry I don't really understand the expression n radical thing if I could pls show me how pls thnx..

Answer 17

Don't try and simplify it, just go through the steps first. What would you do first with \[\sqrt{7}(\sqrt{14}+\sqrt{3})\]

Answer 18

Try to find the sqrt first?and add them together

Answer 19

No, you distribute the \(\sqrt{7}\) in and multiply both the terms.

Answer 20

^7(^14)+^7(3) like this?

Answer 21

If by the carrot (^) you mean a root, yes. You multiply in to get \((\sqrt{7}*\sqrt{14})+(\sqrt{7}*\sqrt{3})\)

Answer 22

Next you need to recall that \(\sqrt{a}*\sqrt{b}\) can be rewritten as \(\sqrt{a*b}\)

Answer 23

^(7*14)=^(7*3). (98+21)=119

Answer 24

You cannot combine the two as you did there because you are adding the roots of two numbers. What you will need to do is see if you can create squares that you can cancel and pull out from under the radical.

Answer 25

Ok I'll try something else what abt =^98+3^7

Answer 26

You will have \(\sqrt{7*14}+\sqrt{7*3}\) if you break it down into pieces to look for squares you need to turn them into their prime factors. If you notice, the second term here is already in prime factors. How would you break up the first term?

Answer 27

^7*^14*^3 or ^98+3^7

Answer 28

Prime factors are those that cannot be reduced further, what are the prime factors of 7 and 14?

Answer 29

3 and 4?

Answer 30

Prime factor of 7 is 1 and 7 prime factor of 14 is 4 and 14?

Answer 31

R u still there?