If a and b are the real and imaginary part of the square root of the complex number 8-15 i- then a - b isA- Always Negative NumberB- Always Positive NumberC- zeroD- Can-t say

Since, imaginary part of 8 15i is negative so, square root of 8 15i should be ± ( a ib ). Always a and b will be of opposite sign. So, a × b will be al ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Inverse of a Matrix

If a and b ar...

Question

If a and b are the real and imaginary part of the square root of the complex number 8 - 15i, then a $\times$ b is _____?

Always Positive Number

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Always Negative Number

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

zero

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Can't say

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
Always Negative Number

Since, imaginary part of 8 - 15i is negative so, square root of 8 - 15i should be $\pm (a - i b)$ .

Always a and b will be of opposite sign.

So, a $\times$ b will be always be negative.

Suggest Corrections

Similar questions

Question 2

If a and b are positive integers, then the solution of the equation ax = b will always be a

(a) positive number

(b) negative number

(d) 0

For the complex number z, one from z+ $¯ z$ and z $¯ z$ is

If equation $a x^{2} + b x + c$ = 0 has only imaginary roots and c < 0, then a is ______.

If $n$ is a natural number, then $\sqrt{n}$ is

Q. If n is a natural number, then

\sqrt{n}

is

(a) always a natural number
(b) always an irrational number
(c) always an irrational number
(d) sometimes a natural number and sometimes an irrational number

Join BYJU'S Learning Program

If a and b are the real and imaginary part of the square root of the complex number 8 - 15i, then a×b is _____?

The correct option is B Always Negative Number Since, imaginary part of 8 - 15i is negative so, square root of 8 - 15i should be ±(a−ib). Always a and b will be of opposite sign. So, a × b will be always be negative.

If a and b are the real and imaginary part of the square root of the complex number 8 - 15i, then a $\times$ b is _____?

The correct option is B
Always Negative Number

Since, imaginary part of 8 - 15i is negative so, square root of 8 - 15i should be $\pm (a - i b)$ .

Always a and b will be of opposite sign.

So, a $\times$ b will be always be negative.