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This guide explores the concept of square roots and their relationship to geometry, specifically how a single distance, like 8 inches, can represent the sides of a square. It explains how squaring a number, such as 8 (8 x 8), leads to an area of 64 square units. The text discusses the process of squaring numbers and finding square roots, making it accessible for learners, including those who may struggle with multiplication tables. Additionally, it touches on the challenges of working with negative numbers and provides tips on estimating square roots like √18.
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Square Root √ AKA Radical
Fact: You can have a single number 8 that represents a distance. Ex. 8 in • Fact: You can create a square using 2 of these segments. • 8 in • 8 in
Soon you see that 8 alone is a distance. 8 x 8 makes a square 8 x 8 = 64 squares. 82 = 64
To square something, look for the exponent of 2. 4 2 = 4 x 4 = 16 10 2 = 10 x 10 = 100 (-3)2 = -3 x -3 = 9 -32 = - (3 x 3) = -9
A square root is the opposite and UNDOES the squaring. This is easy if you know your times tables well. . .
But if you don’t know the times tables . . . OR your number is REALLY odd?
This also works with variables Comment here on negatives!