Question
If n = 6 + √13, then find the value of (n +
1/n)².Solution
'n' = 6 + √13
So,
1/n = 1 / (6 + √13) × (6 - √13)/(6 - √13)
= (6 - √13) / (36 - 13)
= 6 - √13
Required value = (6 + √13 + 6 - √13)² = (12)² = 144
More Algebra Questions
125.9% ÷ 9.05 x 99.98 = ? - 69.97 × √324.02 ÷ 5.98
5983.987 + 59832.999 – 598.873 = ?
( 1000)1/3 × 10.11 × 4.97 ÷ 10.32 =? – 15.022
19.89% of 449.67 + 14.67% of 299.89 - 9.89% of 99.79 = ?
32.12% of 2399.98 + 64.04% of 2499.95 = ? × 15.95
9.992 + (5.01 × 4.98) + ? = 225.03
? = 28.04² ÷ (4.01⁵ + 9.89 × 20.20) + 84.56% of (198.76 × 30.03)
49.97% of 2016 – 37.99% of 1050 = ? – 47.98% of 5950
`[(7.99)^2 - (13.001)^2 + (4.01)^3]^2=` ?
20.11% of 119.99 + √80.97 ÷ 3.02 = ?
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