![\binom{ \sqrt{3 + \sqrt{2} } }{ \sqrt{3 - \sqrt{2 } } } = a + b \sqrt{2} \binom{ \sqrt{3 + \sqrt{2} } }{ \sqrt{3 - \sqrt{2 } } } = a + b \sqrt{2}](https://tex.z-dn.net/?f=+%5Cbinom%7B+%5Csqrt%7B3+%2B++%5Csqrt%7B2%7D+%7D+%7D%7B+%5Csqrt%7B3++-++%5Csqrt%7B2+%7D+%7D+%7D+++%3D+a+%2B+b+%5Csqrt%7B2%7D+)
find the value of a and b in this
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Answer:
Therefore,a=5 and b=2√3
Step-by-step explanation:
=√3+√2/√3-√2
Multiply and divide by √3+√2
=[√3+√2]^2/(√3)^2-(√2)^2
=3+2+2√6/3-2
=5+2√6/1
=5+2√6=a+b√2
=5+2√3×√2=a+b√2
By comparing
we will get a=5,b=2√3
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