Question

the value of
$(5 \sqrt{3} + 7 \sqrt{5} ) -( 3 \sqrt{5} - 7 \sqrt{3} )$
is
A)
$4 \sqrt{5} + 12 \sqrt{3}$
B)
$- 4 \sqrt{5} - 12 \sqrt{3}$
C)
$4 \sqrt{5} - 12 \sqrt{3}$
D)
$12 \sqrt{3} - 4 \sqrt{5}$

​

Answer 1

$= (5 \sqrt{3} + 7 \sqrt{5} ) - (3 \sqrt{5 } - 7 \sqrt{3} ) \\ = 5 \sqrt{3} + 7 \sqrt{5} -3 \sqrt{5} + 7 \sqrt{3} \\ = 5 \sqrt{3 } + 7 \sqrt{3} + 7 \sqrt{5} - 3 \sqrt{5} \\ = 12 \sqrt{3} + 4 \sqrt{5}$

hence A. ist he correct options