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if sqrt x is a positive integer such that x^(3/4) =c, then sqrt x=?
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c^(1/3) c^(1/4) c^(1/2) c^(2/3) c
\(\large x^{(\frac{3}{4})} =c\)
square both sides and see wat u get
\( \large (x^{\frac{3}{4}})^2 = c^2 \)
\( \large x^{\frac{3}{2}} = c^2 \)
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take cube root
\( \large (x^{\frac{3}{2}})^\frac{1}{3} = (c^2)^\frac{1}{3} \)
\( \large x^{\frac{1}{2}} = c^\frac{2}{3} \)
\( \large \sqrt{x} = c^\frac{2}{3} \)
@ganeshie8 thanks!
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np :)
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