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From Karnataka Open Educational Resources
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Multiply both side by 'ab' we get,<br>
 
Multiply both side by 'ab' we get,<br>
 
2ab = <math>\frac{ab(b + c)} {a}</math><br>
 
2ab = <math>\frac{ab(b + c)} {a}</math><br>
Cancel 'a' in Right hand side we get<br>
+
Cancel 'a' in Right hand side and multiply 'b' inside to the bracket we get<br>
2ab = b^{2} + bc ---------->1
+
2ab = <math>b^{2}</math> + bc ---------->1
 
Also 'b' is the geometric mean between 'a' and 'c'<br>
 
Also 'b' is the geometric mean between 'a' and 'c'<br>
 
That is b = <math>\sqrt{ac}</math><br>
 
That is b = <math>\sqrt{ac}</math><br>
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