Determine square roots of rational numbers

All in One Place

Everything you need for JC, LC, and college level maths and science classes.

Learn with Ease

We’ve mastered the national curriculum so that you can revise with confidence.

Instant Help

24/7 access to the best tips, walkthroughs, and practice exercises available.

0/15
?
Examples
Lessons
  1. Use the graph below to determine a rational number with a square root between 4 and 5.
    Determine square roots of rational numbers
    1. Use the side lengths below to estimate and calculate the area of each square.
      1. 5.2 cm
      2. 0.027 km
    2. Find out if each of the following rational numbers is a perfect square.
      1. 8116\frac{{81}}{{16}}
      2. 0.1
      3. 0.01
      4. 514\frac{5}{{14}}
    3. Evaluate.
      1. 361\sqrt {361}
      2. 2209\sqrt {2209}
      3. 0.0169\sqrt {0.0169}
      4. 5.76\sqrt {5.76}
    4. Calculate.
      1. 56\sqrt {56} , to the nearest tenth
      2. 3.7\sqrt {3.7} , to the nearest hundredth
      3. 0.96\sqrt {0.96} , to the nearest hundredth
      4. 0.066\sqrt {0.066} , to the nearest hundredth
    0%
    ?
    Practice
    Topic Notes
    ?
    In this section, we will look at how to evaluate a rational number by using square roots. We will also work on questions determining whether a rational number is a perfect square. We will also evaluate the square roots of rational numbers.