If √[3]-2744 ÷ √[3]0.008=x then

Question

If √[3]-2744 ÷ √[3]0.008=x then (A) x=-70 (B) x2=196 (C) x3=-343000 (D) x=-14

Tardigrade Admin · Accepted Answer

Given x =√[3]-2744 ÷ √[3]0.008 =√[3]-23 × 73 ÷ √[3]8 × 10-3 =-(2 × 7) ÷ 2 × 10-1 =(-14/2) × 10 =-70 ∴ x =-70 x2 =(-70) ×(-70) =4900 x3 =(-70) ×(-70) ×(-70) =-343000

Q. If $3 - 2744 \div 3 0.008 = x$ then

$x = - 70$

$x^{2} = 196$

$x^{3} = - 343000$

$x = - 14$

Given
$x = 3 - 2744 \div 3 0.008$
$= 3 - 2^{3} \times 7^{3} \div 3 8 \times 1 0^{- 3}$
$= - (2 \times 7) \div 2 \times 1 0^{- 1}$
$= \frac{- 14}{2} \times 10$
$= - 70$
$∴ x = - 70$
$x^{2} = (- 70) \times (- 70)$
$= 4900$
$x^{3} = (- 70) \times (- 70) \times (- 70)$
$= - 343000$

Q. If 3−2744​÷30.008​=x then

x=−70

x2=196

x3=−343000

x=−14