Advertisements
Advertisements
Question
Find the value of `sqrt5` correct to 2 decimal places; then use it to find the square root of `(3-sqrt(5))/(3+sqrt(5)` correct to 2 significant digits.
Advertisements
Solution
`sqrt(5)` = 2.236 = 2.24
| 2.236 | |
| 2 | 5.000000 4 |
| 42 | 100 84 |
| 443 | 1600 1329 |
| 4466 | 27100 26796 |
| 304 |
`(3-sqrt(5))/(3+sqrt(5)`
= `sqrt(((3-sqrt(5))((3-sqrt(5))))/((3+sqrt(5))(3-sqrt(5))`
= `sqrt(((3-sqrt(5))^2)/((3)^2 - sqrt((5))^2)`
= `sqrt((3-sqrt5)^2)/(9-5)`
= `sqrt((3-sqrt(5)^2)/(4)`
= `((3-2.24))/(2)`
= `((0.76))/(2)`
= 0.38
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by division method.
7921
Find the number of digits in the square root of the following numbers (without any calculation).
64
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
999
Find the square root the following by long division method:
363609
Find the square root the following by long division method:
20657025
Find the square root the following by long division method:
62504836
Find the least number which must be subtracted from the following numbers to make them a perfect square:
16160
Find the least number which must be added to 5483 so that the resulting number is a perfect square.
Find the least number that must be subtracted to 6666 so that it becomes a perfect square. Also, find the square root of the perfect square thus obtained
Find the square root of the following by long division method.
27.04
