Squares and Square Roots - Advanced

36 Topics, 3 Skills

Squares - Perfect Squares in Sequence - Sequence Shown

Topic 1

Squares - Perfect Squares in Sequence - Sequence Shown

Topic 2

Squares - Perfect Squares in Sequence - Sequence of Variables

Topic 3

Squares - Perfect Squares in Sequence - Sequence of Variables

Topic 4

Squares - Perfect Squares in Sequence

Topic 5

Squares - Perfect Squares in Sequence

Topic 6

Square Approximation Near Perfect Square

Topic 7

Squares Locating Perfect Square Below a Number

Topic 8

Squares Locating Perfect Square Below a Number

Topic 9

Squares Locating Perfect Square Above a Number

Topic 10

Squares Locating Perfect Square Above a Number

Topic 11

Squares Locating Between Perfect Squares

Topic 12

Square Approximation Near Perfect Square

Topic 13

Square Root Approximation Near Perfect Square

Topic 14

Squares Locating Between Perfect Squares

Topic 15

Square Approximation Near Perfect Square

Topic 16

Square Root Approximation Near Perfect Square

Topic 17

Square Root Approximation Near Perfect Square

Topic 18

Squares Approximating Between Perfect Squares

Topic 19

Squares Approximating Between Perfect Squares

Topic 20

Square Roots Approximating Between Perfect Square Roots

Topic 21

Square Roots Approximating Between Perfect Square Roots

Topic 22

Square Roots Approximating Between Integers

Topic 23

Square Roots Approximating

Topic 24

Squares Locating Perfect Square Below a Number

Topic 25

Squares Locating Perfect Square Above a Number

Topic 26

Squares Locating Between Perfect Squares

Topic 27

Squares Locating Between Perfect Squares

Topic 28

Squares Approximating Between Perfect Squares

Topic 29

Squares Approximating Between Perfect Squares

Topic 30

Square Roots Approximating Between Perfect Square Roots

Topic 31

Square Roots Approximating Between Integers

Topic 32

Square Roots Approximating Between Perfect Square Roots

Topic 33

Square Roots Approximating

Topic 34

Square Roots Approximating Between Integers

Topic 35

Square Roots Approximating

Topic 36

Square Roots Approximating Between Perfect Square Roots (Level 1)

Topic 21

This math topic focuses on approximating the value of non-perfect square roots by identifying the closest perfect square roots both above and below the given number. Each problem presents a range within which a particular square root value lies, and the task is to find the nearest perfect squares that border this value. This set of problems is designed to enhance understanding and skills related to the estimation of square roots and is part of a foundational unit on Pythagoras.

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

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Square Roots Approximating Between Perfect Square Roots

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


Find the closest perfect square roots above and below the given square root

?<5<?\sqrt{?} < \sqrt{5} < \sqrt{?}