Question

Anyone good with Square roots?

Answer 1

Please post your question up front. Anyone who has the time and feels capable of answering you question will respond.

Answer 2

What are the instructions for this problem?

Answer 3

All it says is to simplify

Answer 4

In this case that means you need to multiply the two radicals together.

The first one is sqrt(5), which can be written in "fractional exponent form" as\[5^{\frac{ 1 }{ 2 }}\]

Answer 5

oh ok and than how would we do the 2nd one?

Answer 6

The second is \[\sqrt[3]{5}\] which can be re-written as \[5^{\frac{ 1 }{ 3 }}\]

Answer 7

So, the problem you have posted can be re-written as \[5^{\frac{ 1 }{ 2 }}*5^{\frac{ 1 }{ 3}}\]

Answer 8

so itd be 5 1/6?

Answer 9

Here you have the same base in each factor: 5.

Therefore, to find the single exponent of 5 that answers this question, you must ADD together the 2 exponents, (1/2) and (1/3).

How would y ou do that? Be sure to consider using the LCD (lowest common denom.)

Answer 10

Rule:\[a^ba^c=a ^{b+c}\]

Answer 11

so thatd be 2/5

Answer 12

Sorry, but no. the Lowest Common Denominator here is not 5; it is (2)(3)=6.

Try again. Add\[\frac{ 1 }{ 2 }+\frac{ 1 }{ 3 }\]

Answer 13

Make a note: "Review LCDs."

Answer 14

okay... so it is 1/6?

Answer 15

No. Before you can add (1/2) and (1/3), both fractions MUST be changed so that they have the same denominator.

(1/2) becomes (?/6); (1/3) becomes (?/6)

Answer 16

Rewrite (1/2) as (3/6). Where did that 3 come from?

Answer 17

I dont know....I am confused

Answer 18

I have been trying to review "lowest common denominator" with you. At this point it appears that you need a careful review of that topic.

Do you have a textbook? If so, could you look up "lowest common denominator?"

Answer 19

no

Answer 20

You must add (1/2) to (1/3).

The LCD is 6.

We want to re-write (1/2) so that it has the denom. 6.

To do that, multiply numerator (1) and denom (2) by 3.

What does the resulting fraction look like?

Answer 21

3/6....OHHHH

Answer 22

Good. Convert (1/3) to (?/6), using the same method. Do not mult. numerator and den. by 3 this time; mult by ???

Answer 23

6?

Answer 24

@mathmale 6???

Answer 25

wait...2 @mathmale

Answer 26

1/6...

Answer 27

Right: 2. Mult. numerator and den. of (1/3) by 2.

Answer 28

so its 5 1/6

Answer 29

No, not 1/6. You have to mult both 1 and 3 in (1/3) by 2.

Try again.

Answer 30

2/6 oops

Answer 31

Please do that mult. now.

Answer 32

All right now you have 2 fractions with the SAME denom. (6), so you can now easily combine them into 1 result.

Add: (3/6)+(2/6)

Answer 33

5/6?

Answer 34

so it would be 5 5/6?

Answer 35

How'd you get that? Demonstrate what you did.

Add 3/6 and 2/6.

Answer 36

Your result MUST be a fraction with the denom. 6.