Home
Class 12
MATHS
The aproximate value of square root of 2...

The aproximate value of square root of 25.2 is

A

5.01

B

5.02

C

5.03

D

5.04

Text Solution

Verified by Experts

The correct Answer is:
B
Let `f(x)=sqrt(x)`
`:'f(x+Deltax)-f(x)~=f'(x).Deltax=(Deltax)/(2sqrt(x))`
We may write, `25.2=25+0.2`
Taking `x=25` and `Deltax==0.2` we get
`f(25.2)-f(25)~=0.2/(2sqrt(25))=0.02`
`:.f(25.2)~=f(25)+0.02=sqrt(25)+0.02=5.02`
`implies sqrt((25.2))~=5.02`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MISCELLANEOUS PROBLEMS|80 Videos

  • APPLICATIONS OF DERIVATIVES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|21 Videos

  • APPLICATIONS OF DEFINITE INTEGRALS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|6 Videos

  • BINOMIAL DISTRIBUTION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|6 Videos

Similar Questions

Explore conceptually related problems

Write the values of the square root of i

Write the values of the square root of i

Approximate values of square roots by using square root tables

The square root of (6.25)/(6.76) is

Find the square root of 12.25

The cube root of 125 divided by square root of 25, is

Number of significant figures in the square root of 42.25 is "_________" .

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-APPLICATIONS OF DERIVATIVES-MHT CET CORNER
  1. The aproximate value of square root of 25.2 is

    Text Solution

    |

  2. If the Rolle's theorem for f(x)=e^(x)(sin x-cosx) is verified on [(pi)...

    Text Solution

    |

  3. The approximate value of f(x)=x^(3)+5x^(2)-7x+9 at x=1.1 is

    Text Solution

    |

  4. एक कण वक्र 6y= x^3+ 2 के अनुगत गति कर रहा है वक्र पर उन बिंदुओं को ज...

    Text Solution

    |

  5. All points on the curve y^(2)=4a(x+a" sin"(x)/(a)) at which the tangen...

    Text Solution

    |

  6. The length of normal at any point to the curve, y=c cosh(x/c) is

    Text Solution

    |

  7. The height of right circular cylinder of maximum volume in a sphere of...

    Text Solution

    |

  8. x,के सभी वास्तविक मानों के लिए (1-x+x^2)/(1+x+x^2) का न्यूनतम मान है ...

    Text Solution

    |

  9. If x+y=k is normal to y^2=12 x , then k is 3 (b) 9 (c) -9 (d) -3

    Text Solution

    |

  10. A particle moves along a straight line according to the law s=16-2t+3t...

    Text Solution

    |

  11. The equation of the tangent at (2,3) on the curve y^2=a x^3+b is y=4x-...

    Text Solution

    |

  12. The equation of motion of a particle moving along a straight line is s...

    Text Solution

    |

  13. The equation of the tangent to the curve y=4xe^(x) at (-1,(-4)/e) is

    Text Solution

    |

  14. The abscissa of the points, where the tangent to curve y=x^(3)-3x^(2)-...

    Text Solution

    |

  15. The point of the curve y^(2)=2(x-3) at which the normal is parallel to...

    Text Solution

    |

  16. Maximum area of a reactangle which can be inscribed in a circle of a...

    Text Solution

    |

  17. If the function f(x)=2x^3-9a x^2+12 x^2x+1,w h e r ea >0, attains its ...

    Text Solution

    |

  18. If f(x)= kx-sin x is monotonically increasing then

    Text Solution

    |

  19. If a particle moves such that the displacement is proportional to the ...

    Text Solution

    |

  20. f(x)=tan^(-1)(sinx+cosx), x gt0 is always and increasing function on t...

    Text Solution

    |

  21. A ladder 10 m long rests against a vertical wall with the lower end on...

    Text Solution

    |