Question

If
V3+1
If V3–1= a-bv3 then find the value of a and b.
a) a = 2, b = 1
b) a = 2, b = -1
c) a = -2, b = 1
d) a = 1, b = 1​

Answer 1

Answer:

a) a=2, b= 1

Step-by-step explanation:

$\frac{ \sqrt{3} + 1}{ \sqrt{3} - 1 } = a + b \sqrt{3}$

$\frac{ (\sqrt{3} + 1)( \sqrt{3} - 1) }{ (\sqrt{3 - 1} )(\sqrt{3} - 1)} = a + b \sqrt{3}$

$\frac{4 + 2 \sqrt{3} }{3 - 1} = a + b \sqrt{3}$

$\frac{2(2+ 1 \sqrt{3}) }{2} = a + b \sqrt{3}$

$2 + \sqrt{3 = a + b \sqrt{3} }$

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

a) a=2, b= 1

Answer 2

Answer:

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