14. If x= 5+2√6, then find the value of (x-1)/√x
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Given :
- The value of x :
ㅤㅤㅤ➠ 5 + 2 √6
⠀⠀⠀━━━━━━━━━━━━━━━━━━⠀⠀⠀
Need To Find :
- The value of
ㅤ ㅤ➠ (x - 1) / √x
⠀⠀⠀━━━━━━━━━━━━━━━━━━⠀⠀⠀
EXPLANATION .
★ (x - 1) / √x
➪ Substituting the known values , we get :
➥ {(5 + 2 √6) -1}/{√(5 + 2 √6)}
Then,
➥ {(7√6) -1}/{√(7√6)}
➥ {16.146}/{√(17.146)}
➥ {16.146}/{4.140}
➥ {16146 × 1000}/{4140 × 1000}
➥ {16146}/{4140}
➥ {39}/{10} ➠ 3.9
.°. The value of (x - 1) / √x is 3.9.
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