Question

Simplify 8^2/3-unroot 9×10^0+(1/144)^-1/2

Answer 1

4-underroot{(3A^1/2+11^1/2)^2-(6*(11A)^1/2)}

Answer 2

Step-by-step explanation:

$\bf \underline{Solution-}$

${8}^{ \frac{2}{3} } - \sqrt{9} ( {10)}^{0} + \bigg( \frac{1}{144} \bigg) ^{ - \frac{1}{2} }$

$= ( {8}^{2} {)}^{ \frac{1}{3} } - 3(1) + \frac{1}{ \bigg( \frac{1}{144} \bigg) ^{ \frac{1}{2} } }$

$= \sqrt[3]{64} - 3 + \frac{1}{ \left \{ \bigg( \frac{1}{12} \bigg) ^{2} \right \}^{ \frac{1}{2} } }$

$= \sqrt[3]{4 \times 4 \times 4} - 3 + \frac{1}{\bigg( \frac{1}{12} \bigg)}$

$= 4 - 3 + 12$

$= \boxed{13 \: \bf{Ans.}}$