prove that ³√7 is an irrational.
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prove that ³√7 is an irrational.
Step-by-step explanation:
Let √ means cubth root.
Assume that √7 is rational and hence = p/q
Also (p/q) is reduced to the lowest form.
p = q * √7
Since p is multiple of q , q divides P .
Tgat is p = nq where n is an integer.
7^ (1/3) = p/q = nq/q
So p/q is not reduced to the lowest form .
This leads to contradiction.
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