Question

Find the value of root under 2cube*6cube*27

Answer 1

$\large\underline\mathcal\red{SolutiON}$

$\large\sqrt{2^3×6^3×27}$

$\large\sqrt{2^3×6^3×3^3}$

$\large\sqrt{2×2×2×6×6×6×3×3×3}$

$\large\sqrt{2×2×6×6×3×3}$

$\large\sqrt{2×6×3}$

$\large\sqrt{36}$

$\large{6}$

Answer 2

$\huge\underline\frak\green{Question}$

Find the value of root under 2cube*6cube*27

$\huge\underline\frak\green{Solution}$

$\implies\sf \sqrt{2^3×6^3×27^3}$

$\implies\sf \sqrt{2×2×2×6×6×6×3×3×3}$

$\implies\sf \sqrt{2×2×6×6×3×3}$

$\implies\sf \sqrt{2×6×3}$

$\implies\sf \sqrt{36}=6$