Home
Class 12
MATHS
The value of sqrt(c ) rounded off of thr...

The value of `sqrt(c )` rounded off of three decimal places is

A

1.648

B

1.65

C

1.652

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To find the value of \( \sqrt{e} \) rounded off to three decimal places, we can follow these steps: ### Step 1: Identify the value of \( e \) The mathematical constant \( e \) is approximately equal to \( 2.71828 \). ### Step 2: Calculate the square root of \( e \) We need to find \( \sqrt{e} \): \[ \sqrt{e} = \sqrt{2.71828} \] ### Step 3: Use a calculator or estimation method Using a calculator, we can compute: \[ \sqrt{2.71828} \approx 1.64872 \] ### Step 4: Round off to three decimal places Now, we round \( 1.64872 \) to three decimal places: \[ 1.64872 \approx 1.649 \] ### Final Answer Thus, the value of \( \sqrt{e} \) rounded off to three decimal places is: \[ \boxed{1.649} \] ---
Promotional Banner

Topper's Solved these Questions

  • EXPONENTIAL AND LOGARITHMIC SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|20 Videos
  • EXPONENTIAL AND LOGARITHMIC SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|5 Videos
  • ELLIPSE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos
  • HEIGHTS AND DISTANCES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|45 Videos

Similar Questions

Explore conceptually related problems

Find the value of sqrt(5) 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.

The value of cube root of 1001 upto five decimal places is

Find the value of the sqrt199 correct to 4 decimal places

The approximate value of (7.995)^(1//3) correct to four decimal places , is

If sqrt(2)=1. 414 find the value of sqrt(3)\/ sqrt(6) upto three places of decimals.

If sqrt(2)=1. 414 find the value of sqrt(3)\/ sqrt(6) upto three places of decimals.

Find the value of root(5)(32.16) correct to 4 decimals places

Round off : 0.845 correct to 2 decimal places

If sqrt(2)= 1.4 and sqrt(3) = 1.7 find the value of each of the correct to one decimal place: (2-sqrt(3))/(sqrt(3))

If sqrt(2)= 1.4 and sqrt(3) = 1.7 find the value of each of the correct to one decimal place: (1)/(sqrt(3)-sqrt(2))

OBJECTIVE RD SHARMA ENGLISH-EXPONENTIAL AND LOGARITHMIC SERIES-Exercise
  1. The value of sqrt(c ) rounded off of three decimal places is

    Text Solution

    |

  2. The sum of the series 1+(1+a)/(2!)+(1+a+a^(2))/(3!)+(1+a+a^(2)+a^(3...

    Text Solution

    |

  3. The sum of series Sigma(n=1)^(oo) (2n)/(2n+1)! is

    Text Solution

    |

  4. The value of log(3) e- log(9) e + log(27) e- log(81) e+…infty is

    Text Solution

    |

  5. Prove that (4)/(1!) + (11)/(21) + (22)/(3!) + (37)/(4!) + (56)/(5!) +...

    Text Solution

    |

  6. The coefficient of x^n in the expansion of (1+(x^(2))/(2!)+(x^(4))/(4!...

    Text Solution

    |

  7. The coefficent of x^(n) in the expansion of (1+(x^(2))/(2!)+(x^(4))/(4...

    Text Solution

    |

  8. If alpha,beta are the roots of the equation ax^(2)+bx+c=0 then log(a-b...

    Text Solution

    |

  9. The sum of the series 1+(1+2)/(2!)+(1+2+2^(2))/(3!)+(1+2+2^(2)+2^(3)...

    Text Solution

    |

  10. The sum of the series 1+(1^2+2^2)/(2!)+(1^(2)+2^(2)+3^(2))/(3!)+(1^(...

    Text Solution

    |

  11. The coefficent of x^(n) in the series 1+(a+bx)/(1!)+(a+bx)^(2)/(2!)+...

    Text Solution

    |

  12. The sum of the series (1^(2).2^(2))/(1!)+(2^(2).3^(2))/(2!)+(3^(2).4^(...

    Text Solution

    |

  13. The value of (x+y)(x-y)+1/(2!)(x+y)(x-y)(x^2+y^2)+1/(3!)(x+y)(x-y)(x^4...

    Text Solution

    |

  14. If e^(x)=y+sqrt(1+y^(2) then the value of y is

    Text Solution

    |

  15. If (e^(5x)+e^(x))/(e^(3x)) is expand in a series of ascending powers o...

    Text Solution

    |

  16. In the expansion of (e^(7x)+e^(3x))/(e^(5x)) the constant term is

    Text Solution

    |

  17. The value of sqrt(2-1)/sqrt(2)+3-2sqrt(2)/(4)+(5sqrt2-7/6)sqrt(2)+17-1...

    Text Solution

    |

  18. If y=2x^(2)-1 then (1)/(x^(2))+(1)/(2x^(4))+(1)/(3x^(6))+…infty equals...

    Text Solution

    |

  19. The sum of sum(n=1)^(oo) ""^(n)C(2) . (3^(n-2))/(n!) equal

    Text Solution

    |

  20. If (e^(x))/(1-x) = B(0) +B(1)x+B(2)x^(2)+...+B(n)x^(n)+... , then the ...

    Text Solution

    |