if x=5+2√6 find the value of √x+1/√x
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Step-by-step explanation:
x=5−2 √6 =3+2−2( √3 )( √2)=(√ 3 −√ 2 ) ²
⟹ x =±( √3 −√ 2 )
√x +1/√ x=±( √3 −√ 2 + 1/√3− √2 )
=±( √3 −√ 2 +√3+√2/√3-√2 )
=±( √3 − √2 +√3+√2)
=±2 √3
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