# What is the modulus of 6 8i?

## What is the modulus of 6 8i?

Modulus=√6^2+8^2=10 Evaluate sqrt(6 + 8i).

What is the modulus of 3 4i?

Hence, the modulus of z is 5.

### What is the modulus of 1 i √ 3?

z = – 1 – i√3. Thus, the modulus and argument of the complex number – 1 – i√3 are 2 and – 2π/3 respectively.

What is MOD of iota?

modulus of i is 1. Hence |√-16| = 4*1 = 4. ( |√-n| = √n)

#### Is 8i a complex number?

When we multiply the complex conjugates 1 + 8i and 1 – 8i, the result is a real number, namely 65. This is not a coincidence, and this is why complex conjugates are so neat and magical!…Multiplication Property of Complex Conjugates.

(1 + 8i)(1 – 8i) Multiply using FOIL
1 + 64 = 65 So (1 + 8i)(1 – 8i) = 65

What is the conjugate of 3 4i?

3 + 4i
As we can see here, the complex conjugate of 3 – 4i is 3 + 4i. When multiplying the numerator by 3 + 4i and the denominator by the same thing, 3 + 4i, we are not changing the value of the fraction.

## What is the modulus of 1 i √ 3 )?

Thus, the modulus and argument of the complex number – 1 – i√3 are 2 and – 2π/3 respectively.

What is the modulus of √ 3?

Complete step-by-step answer: So, let us suppose the complex number be z. Now, the modulus of the complex number is defined as the square root of the sum of the square of the real and imaginary part of the complex number. So, the modulus of the complex number $\sqrt{3}+i$ is 2.

### What is iota conjugate?

A number that can be represented in the form of (a + ib), where ‘i’ is an imaginary number called iota, can be called a complex number. For example, if the binomial number is a + b, so the conjugate of this number will be formed by changing the sign of either of the terms.

What is 8i equal to?

Remember we introduced i as an abbreviation for √–1, the square root of –1. In other words, i is something whose square is –1. Thus, 8i2 equals –8.

#### What is the conjugate of 1 − 8i?

When we multiply the complex conjugates 1 + 8i and 1 – 8i, the result is a real number, namely 65. This is not a coincidence, and this is why complex conjugates are so neat and magical!