Question

i) (a + b) : √ab = 2: 1, a : b = ?​

Answer 1

Step-by-step explanation:

$\frac{(a + b)}{ \sqrt{ab} } = \frac{2}{1}$

Squaring both the sides

$\frac{ {(a + b)}^{2} }{ab} = \frac{4}{1}$

${a}^{2} + 2ab + {b}^{2} = 4ab$

${a}^{2} + 2ab - 4ab + {b}^{2} = 0$

${a}^{2} - 2ab + {b}^{2} = 0$

${(a - b)}^{2} = 0$

Taking Square Root on both sides

$(a - b) = 0$

$a = b$

$\frac{a}{b} = 1$

$\frac{a}{b} = \frac{1}{1}$