How Do I Solve This Complex Square Root Equation?

[snoothie]

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...

 

[sylas]

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.

 

[snoothie]

solved. but must take note to make the equation:

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

Thanks and cheers