Question

Pls help me!!!!
Estimate the value of the square root.

`√(0.15)`

Answer 1

`\large\boxed{√(0.15)\approx0.39\approx0.4}`

Explanation:

`√(a)=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0.\\-------------------\\\\0.4^2=0.16>0.15\\0.3^2=0.09<0.15\\0.39^2=0.1521>0.15\\0.38^2=0.1444<0.15`