Squares and square roots

Squares and square roots

This lesson focuses on finding the square of a whole number and the square root of a perfect square. In order to do this, we will first learn how to do prime factorization, a method to find the prime factors of a number.
Basic concepts: Determining Common Factors, Divisibility rules,
Related concepts: Determine square roots of rational numbers, Square and square roots, Cubic and cube roots, Evaluating and simplifying radicals,

Lessons

  • 1.
    Find the prime factorization. Then, identify the perfect squares.
    a)
    53

    b)
    71

    c)
    196

  • 2.
    Find the area of the square that has a side length of:
    a)
    15 cm

    b)
    21 cm

  • 3.
    Calculate.
    a)
    16\sqrt {16}

    b)
    49\sqrt {49}

    c)
    2025\sqrt {2025}

  • 4.

    Squares and square roots
    a)
    Find the area of the rectangle.

    b)
    What is the side length of a square that has the same area as the rectangle above?

Do better in math today
Get Started Now
23.
Pythagorean Theorem
23.1
Squares and square roots
23.2
Pythagorean theorem
23.3
Estimating square roots
23.4
Using the pythagorean relationship
23.5
Applications of pythagorean theorem
Transition Year Maths
Don't just watch, practice makes perfect.