Find the modulus of each of the following:

Question:

Find the modulus of each of the following:

$(7+24 i)$

 

Solution:

Given: $z=(7+24 i)$

Now, we have to find the modulus of $(7+24 \mathrm{i})$

So, $|z|=|7+24 i|=\sqrt{(7)^{2}+(24)^{2}}=\sqrt{49+576}=\sqrt{625}=25$

Hence, the modulus of (7 + 24i) is 25

 

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