Question

the number √14+6√5+√14-(6√5) 1.is a rational numbers 2.is not a rational number 3.simplifies to 5 4.simplifies to 0

Answer 1

$\bf \large \sqrt{14} + 6 \sqrt{5} + \sqrt{14} - (6 \sqrt{5}) \\ \\ = > {2 \sqrt{14} + (6 - 6) \sqrt{5} } \\ = > 2 \sqrt{14} + 0( \sqrt{5} \\ = > \rm\red{2 \sqrt{14} }$

Hence, The number √14+6√5+√14-(6√5) is an irrational number i.e. it simplifies to an irrational number.