how-we-can-show-3-2-on-axis-

Question Number 48129 by kaivan.ahmadi last updated on 19/Nov/18

how we can show_{3_{\sqrt{2}}} on axis ?

Answered by tanmay.chaudhury50@gmail.com last updated on 20/Nov/18

t r y i n g t o s o l v e \dots

1) f i r s t p l o t g r a p h y = x^{3}

2) p l o t p o i n t p (0, 2) o n y a x i s

3) d r a w s t r a i g h t l i n e y = 2 w h i c h i s p a r a l l e l

t o x a x i s

4) l e t s t r a i g h t l i n e y = 2 c u t s c u r v e a t p o i n t q

t h e c o - o r i d i n a t e o f p o i n t q i s (2^{\frac{1}{3}}, 2)

5) d r a w s t r a i g h t l i n e p a r r a l e l t o y a x i s f r o m

p o i n t q

6) l e t t h i s s t r a i g h t l i n e c u t s x a x i s a t p o i n t s a y

M s o c o o r d i n a t e o f M i s (2^{\frac{1}{3}}, 0)

Commented by MJS last updated on 20/Nov/18

this works but {there}^{'} s no way to exactly

construct it

Commented by kaivan.ahmadi last updated on 20/Nov/18

thank you sir .

would you show it geometricaly ?

Commented by MJS last updated on 20/Nov/18

{it}^{'} s impossible .

{it}^{'} s the old problem of “ doubling the {cube}^{″}

which has been proven impossible in the

19^{th} century

Commented by kaivan.ahmadi last updated on 20/Nov/18

thanks for ur answer

Commented by MJS last updated on 21/Nov/18

you can maybe use the approximation \sqrt[3]{2} \approx 1.26 which

is . 00008 units or . 006 % greater . 1 . 26^{3} = 2.000376

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