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?

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13.
Pythagorean Theorem
13.1
Squares and square roots
13.2
Pythagorean theorem
13.3
Estimating square roots
13.4
Using the pythagorean relationship
13.5
Applications of pythagorean theorem
Grade 7 Math
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