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
    Free to Join!
    StudyPug is a learning help platform covering math and science from grade 4 all the way to second year university. Our video tutorials, unlimited practice problems, and step-by-step explanations provide you or your child with all the help you need to master concepts. On top of that, it's fun - with achievements, customizable avatars, and awards to keep you motivated.
    • Easily See Your Progress

      We track the progress you've made on a topic so you know what you've done. From the course view you can easily see what topics have what and the progress you've made on them. Fill the rings to completely master that section or mouse over the icon to see more details.
    • Make Use of Our Learning Aids

      Last Viewed
      Practice Accuracy
      Suggested Tasks

      Get quick access to the topic you're currently learning.

      See how well your practice sessions are going over time.

      Stay on track with our daily recommendations.

    • Earn Achievements as You Learn

      Make the most of your time as you use StudyPug to help you achieve your goals. Earn fun little badges the more you watch, practice, and use our service.
    • Create and Customize Your Avatar

      Play with our fun little avatar builder to create and customize your own avatar on StudyPug. Choose your face, eye colour, hair colour and style, and background. Unlock more options the more you use StudyPug.
    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.