Home
Class 11
MATHS
Is the following computation correct? If...

Is the following computation correct? If not give the correct computation : `sqrt((-2))sqrt((-3))=sqrt((-2)(-3))=sqrt((-6))`

Text Solution

Verified by Experts

The said computation is not correct, because -2 and -3 both are negative and `sqrt(ab) = sqrt(a) sqrt(b)` is ture when at least one of a and b is positive or zero. The correct computation is
`(sqrt(-2))(sqrt(-3))= (isqrt(2)) (isqrt(3))=i^(2) sqrt(6) = -sqrt(6)`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

(2sqrt(-5)+3sqrt(-2))(-3sqrt(-8)-sqrt(-20))

sqrt(3)x^(2) - sqrt(2)x + 3sqrt(3)=0

Simplify : 2sqrt(-18)+3sqrt(-50)-6sqrt(-8)

Simplify : (3sqrt(-1)+sqrt(-2))div(2-sqrt(-4))

4 cos^(2)x + sqrt(3) = 2(sqrt(3)+1)

Factorise : 6sqrt(3)a^(2)-21a+5sqrt(3)

Find the value of x : (sqrt(3)+sqrt(2))^(x)+(sqrt(3)-sqrt(2))^(x)=10

int (dx)/(sqrt(1+sqrt(x)))=(4)/(3)(sqrt(x)-2)sqrt(1+sqrt(x))+c

lim_(nto oo)[(sqrt(n+1)+sqrt(n+2)+...+sqrt(2)n)/(sqrt(n^(3)))]

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Plot the region represented by pi/3lt=a r g((z+1)/(z-1))lt=(2pi)/3 in ...

    Text Solution

    |

  2. How many solutions does the equation(8^x + 27^x)/(12^x +18^x) = 7/6hav...

    Text Solution

    |

  3. Is the following computation correct? If not give the correct compu...

    Text Solution

    |

  4. Consider an equilateral triangle having verticals at point A(2/sqrt3 e...

    Text Solution

    |

  5. Find the number of real roots of the equation (x-1)^2+(x-2)^2+(x-3)^2=...

    Text Solution

    |

  6. Find the value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i...

    Text Solution

    |

  7. Let z,z(0) be two complex numbers. It is given that abs(z)=1 and the n...

    Text Solution

    |

  8. Show that the equation a z^3+b z^2+ barb z+ bara =0 has a root alpha ...

    Text Solution

    |

  9. If nge3and1,alpha(1),alpha(2),alpha(3),...,alpha(n-1) are the n,nth ...

    Text Solution

    |

  10. Find the maximum and minimum values of the function y=(log)e(3x^4-2x^3...

    Text Solution

    |

  11. If z^4=(z-1)^4, then the roots are represented in the Argand plane by ...

    Text Solution

    |

  12. Find the value of k if x^3-12x+k=0 has three real distinct roots.

    Text Solution

    |

  13. Let z=t^2-1+sqrt(t^4-t^2),where t in R is a parameter. Find the locu...

    Text Solution

    |

  14. If|z|=1 , then prove that points represented by sqrt((1+z)//(1-z)) lie...

    Text Solution

    |

  15. If omega is an imaginary fifth root of unity, then find the value of ...

    Text Solution

    |

  16. a ,b ,a n d c are all different and non-zero real numbers on arithmet...

    Text Solution

    |

  17. Let x^2+y^2+x y+1geqa(x+y)AAx ,y in R , then the number of possible i...

    Text Solution

    |

  18. If alpha=e^(i2pi//7)a n df(x)=a0+sum(k=0)^(20)ak x^k , then prove that...

    Text Solution

    |

  19. If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...

    Text Solution

    |

  20. If z is a non real root of root(7)(-1) , then find the value of z^(86...

    Text Solution

    |