Home
Class 11
MATHS
(sqrt(-2))(sqrt(-3)) is equal to A. sqr...

`(sqrt(-2))(sqrt(-3))` is equal to
A. `sqrt(6)`
B. `-sqrt(6)`
C. `isqrt(6)`
D. none of these

Text Solution

AI Generated Solution

To solve the expression \((\sqrt{-2})(\sqrt{-3})\), we can follow these steps: ### Step 1: Rewrite the square roots of negative numbers We start by rewriting the square roots of negative numbers using the imaginary unit \(i\), where \(i = \sqrt{-1}\). Thus, we have: \[ \sqrt{-2} = \sqrt{-1 \cdot 2} = \sqrt{-1} \cdot \sqrt{2} = i\sqrt{2} \] ...
Promotional Banner

Topper's Solved these Questions

  • COMBINATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|117 Videos
  • DERIVATIVES

    RD SHARMA|Exercise Solved Examples And Exercises|236 Videos

Similar Questions

Explore conceptually related problems

sqrt(−3).sqrt(−6) is equal to ……………

If a 0, then sqrt(a)sqrt(b) is equal to (a) -sqrt(|a|b(b))sqrt(|a|bi(c))sqrt(|a|b)(d) none of these

(3-sqrt(6))/(3+2sqrt(6))=a sqrt(6)-b

sqrt(2)+sqrt(3)+sqrt(4)+sqrt(6) is equal to

sqrt2+ sqrt3+sqrt4+sqrt6 is equal to

The value of sqrt(5+2sqrt(6)) is sqrt(3)-sqrt(2)(b)sqrt(3)+sqrt(2)(c)sqrt(5)+sqrt(6)(d) none of these

(sqrt(7)+sqrt(5))/(sqrt(5)) is equal to (a) 1 (b) 2(c)6-sqrt(35) (d) 6+sqrt(35)

(6+sqrt(3))/(6-sqrt(3))=a+b sqrt(3)

RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
  1. If a=1+i , then a^2 equals A. 1-i B. 2i C. (1+i)(1-i) D. (i-1)

    Text Solution

    |

  2. If (x+i y)^(1//3)=a+i b ,\ then\ x/a+y/b is a. 0 b. 1 c. -1 d. none o...

    Text Solution

    |

  3. (sqrt(-2))(sqrt(-3)) is equal to A. sqrt(6) B. -sqrt(6) C. isqrt(6)...

    Text Solution

    |

  4. The argument of (1-isqrt(3))/(1+isqrt(3)) is a. 60^@ b. 120^@ c. 210^@...

    Text Solution

    |

  5. If z=((1+i)/(1-i)), then z^4 equals a. 1 b. -1 c. 0 d non of t...

    Text Solution

    |

  6. If z=(1+2i)/(1-(1-i)^2), then arg(z) equals a. 0 b. pi/2 c. pi ...

    Text Solution

    |

  7. If z=1/((2+3i)^2), then |z| is a. 1/13 b. 1/5 c. 1/12 d. n...

    Text Solution

    |

  8. If z=1/((1-i)(2+3i)), then |z| is a. 1 b. 1/sqrt(26) c. 5/sqrt(...

    Text Solution

    |

  9. If z=1-costheta+isintheta,\ t h e n\ |z| is a. 2sin(theta/2) b. 2cos(t...

    Text Solution

    |

  10. If x+i y=(1+i)(1+2i)(1+3i),\ t h e n\ x^2+y^2 is a. 0 b. 1 c. 100 d. n...

    Text Solution

    |

  11. If z=1/(1-cos theta-i sin theta), then Re(z) is a. 0 b. 1/2 c. c...

    Text Solution

    |

  12. If x+i y=(3+5i)/(7-6i), then y is

    Text Solution

    |

  13. The amplitude of 1/i is equal to-

    Text Solution

    |

  14. The argument of (1-i)/(1+i) is-

    Text Solution

    |

  15. The amplitude of (1+isqrt(3))/(sqrt(3)+i) is a. pi/3 b. -pi/3 c. pi/6 ...

    Text Solution

    |

  16. (1+2i+3i^2)/(1-2i+3i^2) equals a. i b. -1 c. -i d. 4

    Text Solution

    |

  17. The value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580...

    Text Solution

    |

  18. A real value of x satisfies the equation (3-4i x)/(3+4i x)=a-i b(a ,\ ...

    Text Solution

    |

  19. The complex number which satisfies the condition |(i+z)/(i-z)|=1\ li...

    Text Solution

    |

  20. If z is a complex number, then a. |z|^2>|z^2| b. |z|^2=|z^2| c. |z|^2<...

    Text Solution

    |