Question

What is the modulus of 6+7i? Square root13, squarei13,square root i26 square root85

Answer 1

Answer:

• The modulus of 6+7i is:

                   $\sqrt{85}$

• The modulus of 2-3i is:

                  $\sqrt{13}$

Step-by-step explanation:

We know that for any complex number of the type:

                    z=a+ib

The modulus of the number is given by:

$|z|=|a+ib|\\\\|z|=\sqrt{a^2+b^2}$

1)

We are given z=6+7i

Hence, the modulus of the complex number is:

$|z|=\sqrt{6^2+7^2}\\\\\\|z|=\sqrt{36+49}\\\\\\|z|=\sqrt{85}$

2)

We are given z=2-3i

Hence, the modulus of the given complex number is calculated as:

$|z|=\sqrt{2^2+3^2}\\\\\\|z|=\sqrt{4+9}\\\\\\|z|=\sqrt{13}$

Answer 2

6 + 7i
= √6² + 7²
= √36 + 49
= √85

The correct answer is square root 85.

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