Question

Simplify:

Answer 1

\[2 \sqrt[4]{10}\]

Answer 2

@DSS @Sheraz12345

Answer 3

Clearly No idea.. :/ Sorry

Answer 4

10^(1/4)=1.78
2(10^(1/4)) = 3.56 Other than that, I think it's in the simplest form

Answer 5

Thats what i thought but thats not simplification @DSS

Answer 6

The answer choices are:
\[4 \sqrt[4]{5}\]
\[8 \sqrt[4]{5}\]
\[16 \sqrt[4]{5}\]
\[32 \sqrt[4]{5}\]

Answer 7

Oh sorry, the question asks to simplify \[2 \sqrt[4]{80}\]

Answer 8

I was looking at another question :P

Answer 9

\[\Large 2 \sqrt[4]{10} = 2 \sqrt[4]{10}\] that's it. You can't simplify the 4th root of 10.

Answer 10

Use prime factorization on 80. Look for numbers which you can put with an exponent of 4, since you're finding the 4th root.
\[\Large 80 = 2*2*2*2*2*5=2^4 *2*5\]
\[\Large 2 \sqrt[4]{2^4*2*5}= 2 \sqrt[4]{2^4}* \sqrt[4]{2*5}\]Try simplifying.

Answer 11

I don't understand ._. Could you explain how I get the answer, I don't understand what you wrote. @DSS Could you help?

Answer 12

Do you understand prime factorization?

Answer 13

Circles are the prime factors 80 = 2*2*2*2*2*5

Answer 14

I know how to factorize, I just don't know how to get the simplified form from that.

Answer 15

Well then tell me where you got lost. This is still the original problem, we just factored 80 \[\Large 2 \sqrt[4]{2^4*2*5}= \]

Answer 16

Okay, go on..

Answer 17

Break up the 4th root \[\Large 2 \sqrt[4]{2^4*2*5}= 2 \sqrt[4]{2^4}* \sqrt[4]{2*5}\]

Answer 18

Gotcha so far..

Answer 19

What's the 4th root of 2^4? hint: the nth root of x^n is x.\[\huge \sqrt[n]{x^n} = x\]

Answer 20

We can't do anything with the 2*5 so leave that as 10.\[\Large 2 \sqrt[4]{2^4}* \sqrt[4]{10}\]