Question 1

Which choice is equivalent to the fraction below when x >= 2

$Which choice is equivalent to the fraction below when x >= 2-example-1$

Question 2

B.
2( √(x) + √(x - 2) ) ✅

Explanation:

$(4)/( √(x) - √(x - 2) ) \\\\ = (4)/( √(x) - √(x - 2) ) * ( √(x) + √(x - 2) )/( √(x) + √(x - 2) ) \\ \\ = \frac{4( √(x)) + 4( √(x - 2) )}{( { √(x) )}^(2) - { (√(x - 2) })^(2) } \\ \\ [∵(a + b)(a - b) = {a}^(2) - {b}^(2) ] \\ \\ = (4 √(x) + 4 √(x - 2) )/(x - (x - 2)) \\ \\ = (4 √(x) + 4 √(x - 2) )/(x - x + 2) \\ \\ = (4( √(x) + √(x - 2) ) )/( 2) \\ \\= 2( √(x) + √(x - 2) )$

$\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}$

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