Question

a) find the value of each of the following using a calculator. round your answer to the nearest hundredth.

1. \\(\sqrt{50}\\) 2) \\(\sqrt{8}\\) 3) \\(\sqrt{14}\\)
2. \\(\sqrt{39}\\) 5) \\(\sqrt{43}\\) 6) \\(\sqrt{27}\\)

b) use a calculator to find the square roots of the following numerals and round your answers to the nearest hundredth.

1. 11 2) 32 3) 5
2. 41 5) 18 6) 26

Explanation:

Part A

1) $\boldsymbol{\sqrt{50}}$

Step1: Calculate square root

Using a calculator, $\sqrt{50} \approx 7.0710678...$

Step2: Round to hundredth

Round $7.0710678...$ to the nearest hundredth: look at the thousandth place (1), which is less than 5, so we keep the hundredth place as is. So $\sqrt{50} \approx 7.07$

Step1: Calculate square root

Using a calculator, $\sqrt{8} \approx 2.8284271...$

Step2: Round to hundredth

Round $2.8284271...$ to the nearest hundredth: look at the thousandth place (8), which is greater than 5, so we round up the hundredth place. So $\sqrt{8} \approx 2.83$

Step1: Calculate square root

Using a calculator, $\sqrt{14} \approx 3.7416573...$

Step2: Round to hundredth

Round $3.7416573...$ to the nearest hundredth: look at the thousandth place (1), which is less than 5, so we keep the hundredth place as is. So $\sqrt{14} \approx 3.74$

Answer:

$7.07$

2) $\boldsymbol{\sqrt{8}}$