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Squares and Square Roots

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Properties of Square Numbers

Subtopic

Properties of Square Numbers under Squares and Square Roots for Grade 8 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the square of the first prime number?

    A.

    11

    B.

    44

    C.

    99

    D.

    22

  2. 2.

    Which of these numbers is the square of 1212?

    A.

    144144

    B.

    122122

    C.

    124124

    D.

    134134

  3. 3.

    A perfect square can never end with which of the following total number of zeros?

    A.

    22

    B.

    44

    C.

    66

    D.

    33

Download the worksheet for Squares and Square Roots - Properties of Square Numbers to practice offline. It includes additional chapter-level practice questions.

Finding Square Roots by Prime Factorisation

Subtopic

Finding Square Roots by Prime Factorisation under Squares and Square Roots for Grade 8 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Using prime factorization, find the square root of 70567056 (24×32×722^4 \times 3^2 \times 7^2).

    A.

    42

    B.

    63

    C.

    74

    D.

    84

  2. 2.

    Calculate the value of 22×32×172\sqrt{2^2 \times 3^2 \times 17^2} using prime factorization.

    A.

    68

    B.

    85

    C.

    102

    D.

    119

  3. 3.

    Find the square root of 22×32×542^2 \times 3^2 \times 5^4 using prime factorization.

    A.

    75

    B.

    150

    C.

    225

    D.

    300

Download the worksheet for Squares and Square Roots - Finding Square Roots by Prime Factorisation to practice offline. It includes additional chapter-level practice questions.

Finding Square Roots by Division Method

Subtopic

Finding Square Roots by Division Method under Squares and Square Roots for Grade 8 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the first step in the division method to find the square root of 53295329?

    A.

    Group as 5 and 329

    B.

    Group as 53 and 29

    C.

    Group as 532 and 9

    D.

    Group as 5329

  2. 2.

    Using the number of digits rule, how many digits are in the square root of 10485761048576?

    A.

    3

    B.

    4

    C.

    5

    D.

    6

  3. 3.

    What is the number of digits in the square root of 100100?

    A.

    1

    B.

    2

    C.

    3

    D.

    4

Download the worksheet for Squares and Square Roots - Finding Square Roots by Division Method to practice offline. It includes additional chapter-level practice questions.

Estimating Square Roots

Subtopic

Estimating Square Roots under Squares and Square Roots for Grade 8 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Estimate 250\sqrt{250} to the nearest whole number.

    A.

    14

    B.

    15

    C.

    17

    D.

    16

  2. 2.

    Which of these is the best estimate for 68\sqrt{68}?

    A.

    7

    B.

    8

    C.

    9

    D.

    10

  3. 3.

    Between which two whole numbers is 33\sqrt{33}?

    A.

    4 and 5

    B.

    5 and 6

    C.

    6 and 7

    D.

    3 and 4

Download the worksheet for Squares and Square Roots - Estimating Square Roots to practice offline. It includes additional chapter-level practice questions.

Squares and Square Roots - Class 8 Maths (CBSE) | Krit.club