Question

Simplify:
$\sqrt { \frac { 1 } { 4 } } + \sqrt [ 2 ] { ( .0001 ) } - ( 1000 ) ^ { - 2 /3 }$
​

Answer 1

Step-by-step explanation:

The coach of a cricket team buys 3 bats and 6 balls for Rs.3900. Later, she buys another bat and 3 more balls of the same kind for Rs.1300. Represent this situation algebraically and geometrically.

Answer 2

Step-by-step explanation:

$\bf \underline{Solution-}$

$\textsf{We have,}$

$\sf{\sqrt { \frac { 1 } { 4 } } + \sqrt [ 2 ] { ( .0001 ) } - ( 1000 ) ^ { - 2 /3 }}$

$\sf{\Rightarrow{ \: \frac{1}{2} + 0.1 - \left \{ \bigg( \frac{1}{10} \bigg) ^{3} \right \} ^{2/3} }}$

$\sf{\Rightarrow{ \: \frac{1}{2} + 0.1 - \bigg( \frac{1}{10} \bigg) ^{ \cancel3 \times 2/ \cancel3} }}$

$\sf{\Rightarrow{ \: \frac{1}{2} + 0.1 - \bigg( \frac{1}{10} \bigg) ^{ 2} }}$

$\sf{\Rightarrow{ \: \frac{1}{2} +0.1 - (0.1 {)}^{2} }}$

$\sf{\Rightarrow{ \: \frac{1}{2} + \cancel{0.1 }- \cancel{ 0.1}}}$

$\sf{\Rightarrow{ \: \frac{1}{2}}}$

$\bf \underline{Answer-}$

$\textsf{Hence after simplifying, we get the value of:}$

$\underline{ \boxed{ \sf{\sqrt { \frac { 1 } { 4 } } + \sqrt [ 2 ] { ( .0001 ) } - ( 1000 ) ^ { - 2 /3 }} \: is \: \frac{1}{2}}.}$