Home
Class 11
MATHS
Simplify sqrt(-16)xxsqrt(-25)....

Simplify `sqrt(-16)xxsqrt(-25)`.

Text Solution

AI Generated Solution

To simplify the expression \( \sqrt{-16} \times \sqrt{-25} \), we can follow these steps: ### Step 1: Rewrite the square roots We can express the square roots of negative numbers in terms of \( i \), where \( i = \sqrt{-1} \). \[ \sqrt{-16} = \sqrt{-1} \times \sqrt{16} = i \times 4 = 4i \] \[ ...
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISE 5A|9 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISE 5B|29 Videos
  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exericse|20 Videos
  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|8 Videos

Similar Questions

Explore conceptually related problems

Simplify: sqrt(-20) + sqrt(-12)

Simplify: sqrt(3-2sqrt(2))

Simplify : 3sqrt(-16)-2sqrt(-9)+4sqrt(-36)

Simplify: (sqrt(-2))/(sqrt(-8))

Simplify: sqrt(-4) + sqrt(-16)- sqrt(-25)

Simplify (5+sqrt(7))(5+sqrt(2))

Simplify : sqrt(3+2sqrt(2))

Simplify: (sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+\ 2)/(sqrt(5)-\ 2)

Simplify: -sqrt((-7)/(4))-sqrt((-1)/(7))

Simplify (sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) e

NAGEEN PRAKASHAN ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATION -MISCELLANEOUS EXERCISE
  1. Simplify sqrt(-16)xxsqrt(-25).

    Text Solution

    |

  2. Evaluate : [i^(18)+(1/i)^(25)]^3

    Text Solution

    |

  3. For any two complex numbers z1and z2, prove that R e(z1z2)=R ez1R e z2...

    Text Solution

    |

  4. Reduce (1/(1-4i)-2/(1+i))((3-4i)/(5+i))to the standard form.

    Text Solution

    |

  5. If under root of (a+i b)/(c+i d)=x+i y , Prove (a^2+b^2)/(c^2+d^2)=(x...

    Text Solution

    |

  6. Convert the following in the polar form : (i) (1+7i)/((2-i)^2) (ii) (...

    Text Solution

    |

  7. Solve the equation : 3x^2-4x+(20)/3=0

    Text Solution

    |

  8. Solve the equation :x^2-2x+3/2=0

    Text Solution

    |

  9. Solve the equation :27 x^2-10 x+1=0

    Text Solution

    |

  10. Solve the following quadratic: 21 x^2-28 x+10=0

    Text Solution

    |

  11. If z1=2-i ,z2=1+i ,find |(z1+z2+1)/(z1-z2+i)|

    Text Solution

    |

  12. If a + i b =((x+i)^2)/(2x^2+1),prove that a^2+b^2=((x^2+1)^2)/((2x^2+...

    Text Solution

    |

  13. If z1=2-i ,\ +2=-2+i , find : R e((z1z2)/(z1))

    Text Solution

    |

  14. Find the modulus and argument of the complex number (1+2i)/(1-3i).

    Text Solution

    |

  15. Find the real numbers x and y if (x-i y)(3+5i)is the conjugate of -6-...

    Text Solution

    |

  16. Find the modulus of (1+i)/(1-i)-(1-i)/(1+i)

    Text Solution

    |

  17. If (x+i y)^3=u+i v ,then show that u/x+v/y=4(x^2-y^2).

    Text Solution

    |

  18. If alphaand betaare different complex numbers with |beta|=1,then fin...

    Text Solution

    |

  19. Find the number of non-zero integral solution of the equation |1-i|^x=...

    Text Solution

    |

  20. If (a + ib) (c + id) (e + if) (g + ih) = A + iB, then show that (a^2 +...

    Text Solution

    |

  21. If ((1+i)/(1-i))^m=1, then find the least positive integral value of m...

    Text Solution

    |