Squares and Square Roots - Practice

40 Topics, 3 Skills

Squares - Perfect Squares

Topic 1

Squares - Perfect Squares

Topic 2

Squares - Is Number a Perfect Square

Topic 3

Perfect Squares as Square of Number

Topic 4

Perfect Squares as Square of Number

Topic 5

Squares - Perfect Squares Compare to Integer

Topic 6

Squares - Perfect Squares Compare to Integer

Topic 7

Square Roots of Perfect Squares From Equation

Topic 8

Square Roots of Perfect Squares From Equation

Topic 9

Square Roots of Perfect Squares

Topic 10

Square Roots of Perfect Squares

Topic 11

Squares - Which Number is Not a Perfect Square

Topic 12

Squares - Is Number a Perfect Square

Topic 13

Squares - Perfect Squares in Sequence

Topic 14

Squares - Perfect Squares in Sequence

Topic 15

Squares - Perfect Squares in Sequence

Topic 16

Square Equation Solving

Topic 17

Square Approximation Near Perfect Square

Topic 18

Square Equation Solving

Topic 19

Square Approximation Near Perfect Square

Topic 20

Square Root Equation Solving

Topic 21

Square Root Equation Solving

Topic 22

Square and Square Root Equation Solving

Topic 23

Square and Square Root Equation Solving

Topic 24

Squares - Perfect Squares in Sequence - Sequence Shown

Topic 25

Squares - Perfect Squares in Sequence - Sequence Shown

Topic 26

Squares - Perfect Squares in Sequence - Sequence of Variables

Topic 27

Squares - Perfect Squares in Sequence - Sequence of Variables

Topic 28

Squares Locating Perfect Square Below a Number

Topic 29

Squares Locating Perfect Square Below a Number

Topic 30

Squares Locating Perfect Square Above a Number

Topic 31

Squares Locating Perfect Square Above a Number

Topic 32

Squares Locating Between Perfect Squares

Topic 33

Squares Locating Between Perfect Squares

Topic 34

Squares Approximating Between Perfect Squares

Topic 35

Squares Approximating Between Perfect Squares

Topic 36

Square Roots Approximating Between Perfect Square Roots

Topic 37

Square Roots Approximating Between Perfect Square Roots

Topic 38

Square Roots Approximating Between Integers

Topic 39

Square Roots Approximating

Topic 40

Square Roots Approximating Between Integers

Level 1

This math topic focuses on approximating square roots to the nearest integers. Students are tasked with identifying two integers between which the square root of a given number falls. Each question presents a different number for which learners find two consecutive integers that bracket its square root. This skill is essential for understanding and estimating non-perfect squares, reinforcing foundational concepts in algebra and number sense. The topic forms part of a broader unit on the fundamentals of Pythagorean theorem, enhancing students' ability to handle square roots in various mathematical contexts.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Square Roots Approximating Between Integers

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

10

Find the closest integers to the given square root

<89<\bigcirc < \sqrt{89} < \bigcirc

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