English

The value of -25×-9 is ______. - Mathematics

Advertisements
Advertisements

Question

The value of `sqrt(-25) xx sqrt(-9)` is ______.

Fill in the Blanks

Solution

The value of `sqrt(-25) xx sqrt(-9)` is – 15.

Explanation:

 `sqrt(-25) xx sqrt(-9) = sqrt(-1) . sqrt(25) xx sqrt(-1) . sqrt(9)`

= 5i × 3i

= 15i2

= –15

shaalaa.com
  Is there an error in this question or solution?
Chapter 5: Complex Numbers and Quadratic Equations - Exercise [Page 93]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 11
Chapter 5 Complex Numbers and Quadratic Equations
Exercise | Q 25.(ii) | Page 93

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Find the value of i + i2 + i3 + i4 


Simplify the following and express in the form a + ib:

(2 + 3i)(1 – 4i)


Write the conjugates of the following complex number:

3 – i


Write the conjugates of the following complex number:

5i


Write the conjugates of the following complex number:

`sqrt(5) - "i"`


Select the correct answer from the given alternatives:

The value of is `("i"^592 + "i"^590 + "i"^588 + "i"^586 + "i"^584)/("i"^582 + "i"^580 + "i"^578 + "i"^576 + "i"^574)` is equal to:


Answer the following:

Simplify the following and express in the form a + ib:

`5/2"i"(-4 - 3"i")`


Answer the following:

Evaluate: (1 − i + i2)−15 


If |z1| = 1, |z2| = 2, |z3| = 3 and |9z1z2 + 4z1z3 + z2z3| = 12, then the value of |z1 + z2 + z3| is


If z1 = 2 – 4i and z2 = 1 + 2i, then `bar"z"_1 + bar"z"_2` = ______.


Evaluate: (1 + i)6 + (1 – i)3 


Find the value of k if for the complex numbers z1 and z2, `|1 - barz_1z_2|^2 - |z_1 - z_2|^2 = k(1 - |z_1|^2)(1 - |"z"_2|^2)`


State true or false for the following:

The points representing the complex number z for which |z + 1| < |z − 1| lies in the interior of a circle.


What is the principal value of amplitude of 1 – i?


Number of solutions of the equation z2 + |z|2 = 0 is ______.


If `(1 + i)^2/(2 - i)` = x + iy, then find the value of x + y.


If (1 + i)z = `(1 - i)barz`, then show that z = `-ibarz`.


State True or False for the following:

The locus represented by |z – 1| = |z – i| is a line perpendicular to the join of (1, 0) and (0, 1).


Let x, y ∈ R, then x + iy is a non-real complex number if ______.


Simplify the following and express in the form a+ib.

`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`


Show that `(-1 + sqrt3 i)^3` is a real number.


Find the value of `sqrt(-3) xx sqrt(-6)`


Simplify the following and express in the form a+ib:

`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`


Simplify the following and express in the form a + ib.

`(3"i"^5 + 2"i"^7 + "i"^9)/("i"^6 + 2"i"^8 + 3"i"^18)`


Simplify the following and express in the form a+ib.

`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`


Show that `(-1 + sqrt3i)^3` is a real number.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×