How Do I Solve This Complex Square Root Equation?

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SUMMARY

The discussion focuses on solving the square root equation defined as n0=1.5*1015+√((1.5*1015)2+[(0.05)n0]2). The correct solution for n0 is determined to be 3.0075*1015. The key step involves isolating the square root and squaring both sides of the equation, leading to the transformed equation: (n0-(1.5*1015))2=(1.5*1015)2+0.0025n02.

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snoothie
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Homework Statement



Can someone advice me how to solve this square root equation?
n_{0}=1.5*10^{15}+\sqrt{(1.5*10^{15})^{2}+[(0.05)n_{0}]^{2}}

The answer should be n0=3.0075*1015

I can't figure out how to open up the square root to solve the equation for n0.
Stuck here staring at the equation...
 
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snoothie said:

Homework Statement



Can someone advice me how to solve this square root equation?
n_{0}=1.5*10^{15}+\sqrt{(1.5*10^{15})^{2}+[(0.05)n_{0}]^{2}}

The answer should be n0=3.0075*1015

I can't figure out how to open up the square root to solve the equation for n0.
Stuck here staring at the equation...

Isolate the square root on one side of the equals sign, then square both sides.
 


solved. but must take note to make the equation:

[n0-(1.5*1015)]2=(1.5*1015)2+0.0025n02

Thanks and cheers
 

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