Question

simplify 5 + 2 root 3 upon 7 + 4 root 3

Answer 1

Hello,
(5+2√3)/(7+4√3);
= [(5+2√3)(7-4√3)]/[(7-4√3)(7+4√3)];
=[35-20√3+14√3-24]/[7²-(4√3)²];
=[11-6√3]/[49-48];
=11-6√3;
therefore
11-6√3

Bye :-)

Answer 2

Hello..

Answer...

$(5 + 2 \sqrt{3} ) \div (7 + 4 \sqrt{3} )$
$(5 + 2 \sqrt{3} )(7 - 4 \sqrt{3} ) \div (7 - 4 \sqrt{3})(7 + 4 \sqrt{3})$
$35 - 20 \sqrt{3} + 14 \sqrt{3} - 24 \div {7}^{2} - (4 \sqrt{3})^{2}$
$11 - 6 \sqrt{3} \div 49 - 48$
$11 - 6 \sqrt{3}$