Question

rationalize the denominator and simplify to find the value of:
4/√5+√3
Given that √5=2.236 and √3=1.732​

Answer 1

Step-by-step explanation:

this is the correct answer

Answer 2

rationalize the denominator and simplify to find the value of:

4/√5+√3

Given

$\dfrac{4}{\sqrt 5 +\sqrt 3}$

$= \dfrac{4}{\sqrt 5 + \sqrt 3} \times \dfrac{\sqrt 5 - \sqrt 3}{\sqrt 5 - \sqrt 3}\\\\\\=\dfrac{4 (\sqrt 5 -\sqrt 3)}{(\sqrt 5)^2 - (\sqrt 3)^2}\\\\\\=\dfrac{4 (2.236 -1.732)}{5 - 3}\\\\=\dfrac{4 \times 0.504 }{2}\\\\\ =4 \times 0.504\\\\= 1.008$