If a=7-4√3, then find the value of √a + 1/√a
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7-4√3=4+3-2.2.√3=2²-2.2.√3+√3²=(2-√3)²
∴, √a=√(7-4√3)=2-√3; neglecting the negative sign
√a+1/√a=2-√3+1/2-√3={(2-√3)²+1}/2-√3=(4-4√3+3+1)/2-√3=(8-4√3)/(2-√3)
=4(2-√3)/(2-√3)=4
∴, √a=√(7-4√3)=2-√3; neglecting the negative sign
√a+1/√a=2-√3+1/2-√3={(2-√3)²+1}/2-√3=(4-4√3+3+1)/2-√3=(8-4√3)/(2-√3)
=4(2-√3)/(2-√3)=4
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