Determine square roots of rational numbers

Determine square roots of rational numbers

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.

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

  • 2.
    Use the side lengths below to estimate and calculate the area of each square.
    a)
    5.2 cm

    b)
    0.027 km


  • 3.
    Find out if each of the following rational numbers is a perfect square.
    a)
    8116\frac{{81}}{{16}}

    b)
    0.1

    c)
    0.01

    d)
    514\frac{5}{{14}}


  • 4.
    Evaluate.
    a)
    361\sqrt {361}

    b)
    2209\sqrt {2209}

    c)
    0.0169\sqrt {0.0169}

    d)
    5.76\sqrt {5.76}


  • 5.
    Calculate.
    a)
    56\sqrt {56} , to the nearest tenth

    b)
    3.7\sqrt {3.7} , to the nearest hundredth

    c)
    0.96\sqrt {0.96} , to the nearest hundredth

    d)
    0.066\sqrt {0.066} , to the nearest hundredth