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Simplifying Square Root of a Number

Simplifying Square Root of a Number

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to simplify square roots by finding the largest square number that divides evenly into a given number, specifically 216. The instructor lists square numbers up to 225 and demonstrates the simplification process by breaking down 216 into a product of 36 and 6. The square root of 36 is calculated, leading to the final simplified form of 6√6.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying the square root of a large number like 216?

Divide it by 2

Find a square number that divides it

Find a prime number that divides it

Multiply it by 10

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a square number?

50

20

30

36

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which square number is the largest that divides into 216?

81

64

49

36

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can 216 be expressed as a product of a square number and another number?

25 times 9

36 times 6

49 times 4

16 times 13.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the square root of 216?

6√6

9√4

12√3

18√2

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