Advertisements
Advertisements
प्रश्न
Find the square root of 7 correct to two decimal places; then use it to find the value of `sqrt((4+sqrt(7))/(4-sqrt(7)` correct to three significant digits.
Advertisements
उत्तर
`sqrt(7)` = 2.645 = 2.65
| 2.645 | |
| 2 | 7.000000 4 |
| 46 | 300 276 |
| 524 | 2400 2096 |
| 5285 | 30400 26425 |
| 3975 |
Now, `sqrt((4+sqrt(7))/(4-sqrt(7)`
= `sqrt(((4+sqrt(7))(4+sqrt7))/((4-sqrt7)(4+sqrt(7))`
= `sqrt(((4+sqrt(7))^2)/((4)^2 - sqrt((7))^2)`
= `sqrt(((4+sqrt(7))^2)/(16-7)`
= `sqrt(((4+sqrt(7))^2)/(9)`
= `(4+sqrt(7))/(3)`
= `(4+2.65)/(3)`
= `(6.65)/(3)`
= 2.21
APPEARS IN
संबंधित प्रश्न
Find the square root of the following number by division method.
4489
Find the square root of the following number by division method.
1369
Find the square root of the following number by division method.
576
Find the square root of the following number by division method.
1024
Find the number of digits in the square root of the following numbers (without any calculation).
4489
Find the squares of the following number using the identity (a + b)2 = a2 + 2ab + b2
1001
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
995
Find the least number which must be subtracted from the following numbers to make them a perfect square:
194491
Find the square root of: `sqrt(108 xx 2028)`
Find the greatest 4-digit number which is a perfect square.
