why-is-not-a-polynomial-25x-8-

Question Number 179063 by sciencestudent last updated on 24/Oct/22

w h y i s n o t a p o l y n o m i a l \sqrt{25 x^{8}} ?

Commented by sciencestudent last updated on 24/Oct/22

?

Commented by sciencestudent last updated on 26/Oct/22

p l e a s e h e l p m e!

Answered by Tokugami last updated on 26/Oct/22

\sqrt{25 x^{8}} can be reduced to 5 x^{4},

but it can also be - 5 x^{4},

because {(5 x^{4})}^{2} = 25 x^{8} \underset{―}{and} {(- 5 x^{4})}^{2} = 25 x^{8}

\sqrt{25 x^{8}} is multivalued, so it is

not a polynomial .

Commented by mr W last updated on 26/Oct/22

\sqrt{25 x^{8}} = 5 x^{4}

\sqrt{25 x^{8}} \neq - 5 x^{4}

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