Question

express 4-1/2+√3+1/2-√3 in a+b√3 then a,b are respectively​

Answer 1

Answer:

$\mathcal{\pink{answer = \: a = 2 \: \: and \: b = 1 }}$

Step-by-step explanation:

$</strong><strong>=</strong><strong> \frac{4 - 1}{2} + \frac{ \sqrt{3} + 1 }{2}$

$</strong><strong>=</strong><strong> \frac{4 - 1 + \sqrt{3} + 1}{2}$

$</strong><strong>=</strong><strong>2 + \sqrt[1]{3}$

Compare with a+b × root 3

$2 + \sqrt[1]{3} = a + \sqrt[b]{3}$

$so \: a = 2 \: and \: b = 1$