Question

what is modulous of 7+24i.​

Answer 1

Step-by-step explanation:

ʜᴇʏᴀ ᴍᴀᴛᴇ ʜᴇʀᴇ ɪs ʏᴏᴜʀ ᴀɴsᴡᴇʀ

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●Modulus will be

\sqrt{ {7}^{2} + {24}^{2} }

7

2

+24

2

i.e 25

Answer 2

To Find :-

Modulus of 7+24 i

Solution :-

It's very simple to find out the modulus of a complex number.

The formula that we use for finding the modulus is :-

$\boxed{\sf{ |z| = \sqrt{{Re(z)}^{2} + {Im(z)}^{2} } }}$

• $\sf{ Z \: refers\: to \: complex\: number}$

• $\sf{Im(z) \: refers\: to \: imaginary\: part}$

• $\sf{Re(z) \: refers\: to \: real\: part}$

So here Im(z) = 24 and Re(z) = 7 .

$\sf{\implies |z| = \sqrt{{7}^{2} + {24}^{2} } }$

$\sf{\implies |z| = \sqrt{49 + 576} = \sqrt{625}}$

$\boxed{\sf{\implies |z| = \sqrt{625} = 25}}$

So the modulus of 7+24i is 25.