Question

Evaluate the expression. Give the exact value if possible. Otherwise, approximate to the nearest hundredth. $$-\sqrt{0.1}$$

Short answer

The exact value of \(-\sqrt{0.1}\) to the nearest hundredth is \(-0.3162\).

Step-by-step solution

Find the square root of 0.1

To find the square root of 0.1, it is applicable to use the calculator as it gives a decimal value. Apply the square root operation on 0.1 to get approximately 0.3162.

Apply the negative sign

We need to remember to apply the negative sign, as the given expression is \(-\sqrt{0.1}\). So negate the square root value found in the previous step. The result is \(-0.3162\) to the nearest hundredth.