Question

square root of 142.9056 with the help of log table​

Answer 1

Answer:

11.9543130292

Explanation:

$\sqrt{x } = {x}^{ \frac{1}{2} }$

Apply log on both sides

$log( \sqrt{x} ) = log( {x}^{ \frac{1}{2} } )$

= 1/2 log(x)

$log( \sqrt{142.9056} ) = \frac{1}{2} \times log(142.9056)$

$log( \sqrt{142.9056} ) = \frac{1}{2} \times 2.155$

$log( \sqrt{142.9056} ) = 1.577$

$\sqrt{142.9056} = {e}^{1.577}$

$\sqrt{142.9056} = 11.954$