Question

Approximate the following to the nearest tenth without using a calculator

Answer 1

10.2

Step-by-step explanation

We have to approximate the square root given to the nearest tenth.

To do this, we have to first simplify it.

We have:

`\sqrt[]{104}\text{ = }\sqrt[]{2\cdot\text{ 2 }\cdot\text{ }26}\text{ = 2 }\sqrt[]{26}`

Using the square root table, we have that:

`\begin{gathered} 2\cdot\text{ }5.0990 \\ =\text{ }10.198 \\ \cong10.2 \end{gathered}`

That is the answer.