Question

rationalise 3 by root 5 +root 2​

Answer 1

Answer:

$\mathcal{YOUR \: QUESTION}$

To Rationalise:- $\frac{3}{√5+√2}$

$\mathbb{HERE'S \: YOUR \: ANSWER}$

=$\frac{3}{√5+√2}$

=$\frac{3}{√5+√2}$×$\frac{√5-√2}{√5-√2}$

=$\frac{3(√5-√2)}{(√5+√2)(√5-√2)}$

=$\frac{3√5-3√2}{(√5)²-(√2)²}$

=$\frac{3√5-3√2}{5-2}$

$\frac{3√5-3√2}{3}$ (Your Answer)

Answer 2

Answer:

(√5-√2)

Step-by-step explanation:

(3) ÷ (√5+√2)

=> multiply and divide by (√5-√2)

=> { (3)×(√5-√2) } ÷ { (√5+√2)(√5-√2) }

=> (3)(√5-√2) ÷ { (√5)² - (√2)² }

=> (3)(√5-√2) ÷ (5-2)

=> (3)(√5-√2) ÷ 3

=> (3/3) (√5-√2)

=> (√5-√2)