Question

if x=5+2√3 show that √x+1/√x = 2√3​

Answer 1

Answer:

Step-by-step explanation:

x=(√3)²+(√2)²+2.√3.√2

x=(√3+√2)²

√x=√3+√2

1/√x=1/√3+√2

1/√x=(1/√3+√2)*(√3-√2/√3-√2)

1/√x=√3-√2/(√3)²-(√2)²

1/√x=√3-√2/3-2

1/√x=√3-√2/1

√x+1/√x=√3+√2+√3-√2

=2√3

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