Question

Simplify. ∜400/∜5

Answer 1

This rule may be helpful to get started:

\( \dfrac{\sqrt[n]{a}} {\sqrt[n]{b}} = \sqrt[n]{\dfrac{a}{b} } \)

Answer 2

yea but i got these A. 5∜2
B. 2∜5
C. 2√5
D. ∜80

Answer 3

@mathstudent55

Answer 4

Try my suggestion first. It won't give you the fianl answer, but it'll get you started. Then we can work on the next step.

Answer 5

\( \dfrac{\sqrt[4]{400}} {\sqrt[4]{8}} = \sqrt[4]{\dfrac{400}{8} } \)

Now divide 400 by 8, what do you get?

Answer 6

i gott 50 @mathstudent55

Answer 7

Sorry. It's 400 divided by 5, not 8.
Let me do it again.

Answer 8

its 80

Answer 9

Right.

\(\dfrac{\sqrt[4]{400}} {\sqrt[4]{5}} = \sqrt[4]{\dfrac{400}{5}} = \sqrt[4]{80} \)

Answer 10

THANKS

Answer 11

Now we need to simplify
\( \sqrt[4]{80} \)

We need to find the prime factors of 80.

\(80 = 2 \times 2 \times 2 \times 2 \times 5 = 2^4 \times 5\)

\(\sqrt[4]{80} =\sqrt[4]{2^4 \times 5} \)

\(= \sqrt[4]{2^4} \times \sqrt[4]{5}\)

\(= 2\sqrt[4]{5} \)

Answer 12

GOTT THANKS

Answer 13

wlcm