Answer is 2/5 (√10 + √15)
Step-by-step explanation:
√5 (√8 + √3)/(√8 - √3)(√8 + √3) = (√40 + √15)/(8 - 3)
[using the identity (a+b)(a-b) = a² - b²]
= 2/5 (√10 + √15)
Answer:
[tex]\frac{2\sqrt{10}+\sqrt{15} }{5}[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{5} }{\sqrt{8}-\sqrt{3} } =\frac{\sqrt{5}*(\sqrt{8}+\sqrt{3}) }{(\sqrt{8}-\sqrt{3})(\sqrt{8}+\sqrt{3}) } =\frac{\sqrt{40}+\sqrt{15} }{8-3} =\frac{2\sqrt{10}+\sqrt{15} }{5}[/tex]
