Question

rationalise the denominator of the following 2 square root 53over square root 5​

Answer 1

Answer:(2✓265)/5

Step-by-step explanation:

2✓53/✓5

2✓53×✓5

_______

✓5×✓5

2✓265/5

Answer 2

$\frac{2 \sqrt{53} }{ \sqrt{5} }$

The Rationalising factor of √5 is √5. So, multiply the numerator and denominator of the given fraction by √5.

$= \frac{2 \sqrt{53} \times \sqrt{5} }{ \sqrt{5} \times \sqrt{5} }$

$= \frac{2 \sqrt{265} }{ {( \sqrt{5} )}^{2} }$

$= \frac{2 \sqrt{265} }{5}$