Question

rationalise the denominator and simplify the square root of 15 over the square root of 5​

Answer 1

Answer:

$\sqrt{3}$

Step-by-step explanation:

$\frac{\sqrt{15} }{\sqrt{5} }$

to rationalise the denominator multiply numerator/ denominator by $\sqrt{5}$

= $\frac{\sqrt{15} }{\sqrt{5} }$ × $\frac{\sqrt{5} }{\sqrt{5} }$

= $\frac{\sqrt{75} }{5}$

= $\frac{\sqrt{25(3)} }{5}$

= $\frac{5\sqrt{3} }{5}$

= $\sqrt{3}$