Find the square root of 8+15i
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Hey
Here is the solution to this,
Let, (a+ib)^2 =8+15i
a^2 +b^2 +2ab=8+15i
a^2 +b^2 =8
2ab=15
We know,
(a^2 +b^2)^2 =(a^2 +b^2) ^2 +(2ab)^2
=64+225
=289
Thus,a^2 +b^2
=17
From 1 and 2 a=5/root 2 and b=3/root 2
The square roots are =[5/root 2+3/root 2]
THANK YOU
Here is the solution to this,
Let, (a+ib)^2 =8+15i
a^2 +b^2 +2ab=8+15i
a^2 +b^2 =8
2ab=15
We know,
(a^2 +b^2)^2 =(a^2 +b^2) ^2 +(2ab)^2
=64+225
=289
Thus,a^2 +b^2
=17
From 1 and 2 a=5/root 2 and b=3/root 2
The square roots are =[5/root 2+3/root 2]
THANK YOU
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