Question

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3√12/6√27 = ?
a)1/2
b)2
c)1/3
d)3​

Answer 1

Answer:

Step-by-step explanation:

We have,

$\dfrac{3\sqrt{12}}{6\sqrt{27}}$

$=\dfrac{3\sqrt{2\times2\times3}}{6\sqrt{3\times3\times3}}$

$=\dfrac{3\times2\sqrt{3}}{6\times3\sqrt{3}}$

$=\dfrac{2}{6}$

$=\dfrac{1}{3}$

Answer 2

Answer:

$\frac{3 \sqrt{12} }{6 \sqrt{27} }$

we know

√12=√(2×2×3)

therefore

3√12=2×3√3=6√3

and now we've got denominator as 6√27

we knw √27= √(3×3×3)

therefore 6√27=3×6√3=18√3

therefore we've got

$\frac{6 \sqrt{3} }{18 \sqrt{3} }$

here we can cancel both √3

and also 6/18 can be written in fractional form,that is

$\frac{1}{3}$

therefore the correct answer is Option C) 1/3