Solving the Square Root Expression

The question asks for the value of the expression $\sqrt{196} + \sqrt{0.0361} - \sqrt{7.29}$. To find the value, we need to calculate each square root separately and then perform the addition and subtraction.

Step-by-Step Calculation

• Calculate $\sqrt{196}$:

  The square root of 196 is 14, since $14 \times 14 = 196$. So, $\sqrt{196} = 14$.

• Calculate $\sqrt{0.0361}$:

  The square root of 0.0361 is 0.19, since $0.19 \times 0.19 = 0.0361$. So, $\sqrt{0.0361} = 0.19$.

• Calculate $\sqrt{7.29}$:

  The square root of 7.29 is 2.7, since $2.7 \times 2.7 = 7.29$. So, $\sqrt{7.29} = 2.7$.

• Combine the results:

  Now substitute the calculated values back into the expression:

  Value = $14 + 0.19 - 2.7$

  First, add 14 and 0.19:

  $14 + 0.19 = 14.19$

  Next, subtract 2.7 from the result:

  $14.19 - 2.7 = 11.49$

Final Value

The value of the expression $\sqrt{196} + \sqrt{0.0361} - \sqrt{7.29}$ is $11.49$.