Question

$\sqrt{5 +2\sqrt{6} }$÷$\sqrt{5-2\sqrt{6} }$ if the value of $\sqrt{6}$ =2.449

Answer 1

$= > \: \dfrac{ \sqrt{5 + 2 \sqrt{6} } }{ \sqrt{5 - 2 \sqrt{6} } }$

$= \: \dfrac{ \sqrt{5 + 2 \sqrt{6} } }{ \sqrt{5 - 2 \sqrt{6} } } \: \times \: \dfrac{ \sqrt{5 +2 \sqrt{6} } }{ \sqrt{5 + 2 \sqrt{6} } }$

$= \dfrac{( \sqrt{5 + 2 \sqrt{6} })^{2} }{ \sqrt{(5 - 2 \sqrt{6})(5 + 2 \sqrt{6} ) } }$

$= \dfrac{5 + 2 \sqrt{6} }{ \sqrt{{5}^{2} - {2 \sqrt{6} }^{2} } }$

$= \dfrac{5 + 2 \sqrt{6} }{ \sqrt{25 - 24} }$

$= \dfrac{5 + 2 \sqrt{6} }{1}$

=5+2√6

=5+2(6.499)

=5+12.998

=17.998

Answer 2

Step-by-step explanation:

Oncology is a branch of medicine that deals with the prevention, diagnosis, and treatment of cancer. A medical professional who practices oncology is an oncologist. The name's etymological origin is the Greek word ὄγκος, meaning 1. "burden, volume, mass" and 2. "barb", and the Greek word λόγος, meaning "study".