Advertisements
Advertisements
प्रश्न
If `sqrt(2) = 1.4142`, then `sqrt((sqrt(2) - 1)/(sqrt(2) + 1))` is equal to ______.
विकल्प
2.4142
5.8282
0.4142
0.1718
Advertisements
उत्तर
If `sqrt(2) = 1.4142`, then `sqrt((sqrt(2) - 1)/(sqrt(2) + 1))` is equal to 0.4142.
Explanation:
`sqrt((sqrt(2) - 1)/(sqrt(2) + 1)) = sqrt((sqrt(2) - 1)/(sqrt(2) + 1) xx (sqrt(2) - 1)/(sqrt(2) - 1))`
= `sqrt((sqrt(2) - 1)^2/((sqrt(2))^2 - 1^2)`
= `sqrt((sqrt(2) - 1)^2/(2 - 1)`
= `sqrt((sqrt(2) - 1)^2/1`
= 1.4142 – 1
= 0.4142
APPEARS IN
संबंधित प्रश्न
Write the following in decimal form and say what kind of decimal expansion has:
`36/100`
Write three numbers whose decimal expansions are non-terminating non-recurring.
Which of the following numbers can be represented as non-terminating, repeating decimals?
The decimal expansion of the number `sqrt(2)` is ______.
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
`0.bar001`
Write the following in decimal form and say what kind of decimal expansion has:
`1/11`
Write the following in decimal form and say what kind of decimal expansion has:
`4 1/8`
Write the following in decimal form and say what kind of decimal expansion has:
`329/400`
Express the following in the form `bb(p/q)`, where p and q are integers and q ≠ 0.
`0.4bar7`
Express the following in the form `bb(p/q)`, where p and q are integers and q ≠ 0.
`0.bar001`
