Answer: The positive square root of 0.49 is 0.7.
Step-by-step explanation: We are given to find the positive square root of 0.49.
Let us consider that
[tex]x^2=0.49~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
So, taking square root on both sides of the equation (i), we have
[tex]x=\pm\sqrt{0.49}\\\\\Rightarrow x=\pm\sqrt{\dfrac{49}{100}}\\\\\\\Rightarrow x=\pm\sqrt{\dfrac{7^2}{10^2}}\\\\\\\Rightarrow x=\pm\dfrac{7}{10}\\\\\Rightarrow x=\pm0.7.[/tex]
So, x = 0.7 and x = - 0.7 are th square roots of 0.49.
Since we need the positive square root, so our result is 0.7.
Thus, the positive square root of 0.49 is 0.7.
