Question

if a+b=4 and a×b =2 then a-b=?​

Answer 1

2√2

Answer:

We have,

• a + b = 4
• a ›‹ b = 2

Now,

$a - b$

$= \sqrt{ {(a - b)}^{2} }$

$= \sqrt{ {a}^{2} + {b}^{2} - 2ab}$

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

$= \sqrt{( {a}^{2} + {b}^{2} + 2ab) - 4ab}$

$= \sqrt{ {(a + b)}^{2} - 4ab}$

$= \sqrt{ {(4)}^{2} - 4(2)}$

$= \sqrt{16 - 8}$

$= \sqrt{8}$

$= \sqrt{2 \times 2 \times 2}$

$= \sqrt{ {(2)}^{2} \times 2}$

$= 2 \sqrt{2}$

Answer 2

Answer:

Thanks for asking and keep asking more...