Question

rationalize the denominator 3 √2/√8+√5​

Answer 1

Answer:

√6

Step-by-step explanation:

$\frac{3\sqrt{2} }{\sqrt{8} +\sqrt{5} } \\\\\frac{3\sqrt{2} }{\sqrt{8} +\sqrt{5} } *(\frac{\sqrt{8} -\sqrt{5} }{\sqrt{8}-\sqrt{5} } )$

{Using identity : (a + b)(a - b) = a² - b²}

$\frac{3\sqrt{2}(\sqrt{8} -\sqrt{5} ) }{(\sqrt{8} )^{2} -(\sqrt{5} )^{2} } \\\\\frac{3\sqrt{16}-3\sqrt{10} }{8-5} \\\\\frac{3(\sqrt{16}-\sqrt{10})}{3} \\\\\sqrt{16}-\sqrt{10}\\\\\sqrt{6}$