Question

Rationalise the denominator of
5/3+√4​

Answer 1

Given to Rationalize:-

• 5/3 + √4

Solution:-

$\frac{3}{4 \sqrt{5} } \times \frac{4 \sqrt{5} }{4 \sqrt{5} } \\ \\ = \frac{12 \sqrt{5} }{16 \times 5} \\ \\ = \frac{12 \times \sqrt{5} }{16 \times \sqrt{5} \times \sqrt{5} } \\ \\ = \frac{12}{16 \sqrt{5} }$

Answer 2

Step-by-step explanation:

5/3 + √4

Solution:-

\begin{gathered} \frac{3}{4 \sqrt{5} } \times \frac{4 \sqrt{5} }{4 \sqrt{5} } \\ \\ = \frac{12 \sqrt{5} }{16 \times 5} \\ \\ = \frac{12 \times \sqrt{5} }{16 \times \sqrt{5} \times \sqrt{5} } \\ \\ = \frac{12}{16 \sqrt{5} } \end{gathered}

4

5

3

×

4

5

4

5

=

16×5

12

5

=

16×

5

×

5

12×

5

=

16

5

12