Question
data-sheets-value="{"1":2,"2":"If y = 5 + 2√6, then the value of √y - (1/√y)"}" data-sheets-userformat="{"2":513,"3":{"1":0},"12":0}">If x = 10 + 2√21, then the value of √x - (1/√x)?
Solution
x = 10 + 2√21 = 3 + 7 + 2√3 x √7 = √3 x √3 + √7 x √7 + 2√3 x √7 = (√3+√7)2 So x = (√3 + √7)2 So √x = (√3 + √7) Putting √x = (√3 + √7) in √x - (1/√x) we get, √x - (1/√x) = (√3 + √7) - (1/(√3 + √7) = (√3 + √7) - ((√3 - √7)) = 2√7 ` `
More Algebra Questions
15% of 1800 + 22 = ?
What will come in the place of question mark (?) in the given expression?
30% of 520 + 16% of 1500 = ? + 244
- What will come in place of the question mark (?) in the following questions?
(2⁴ + 6²) ÷ 2 = ? 4/5 + 6/7 × 14/42 ÷ 24/35 = ?
What will come in the place of question mark (?) in the given expression?
45% of (√6400 × 5) = ? + 111
If 1.123 × 3.211 = 3.122 + ______________, then the number in blank space is
Simplify and express as a fraction in simplest form:
0.75 + 0.4 − 0.125
- What will come in the place of question mark (?) in the given expression?
389 + 641 - ? = 180 X 2 15.8% of 9000 + 20.4% of 7500 = 30% of ?
2.4 of 7.2 of 1/57.6 of 4200 = ?
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