Square root (for 7th grade) - Examples, Exercises and Solutions

What are those mysterious square roots that often confuse students and complicate their lives? The truth is that to understand them, we need to grasp the concept of the inverse operation.

What is a square root?

When we solve an exercise like 5=252 5=25^2 , it's clear that 5 5 times 5 5 (that is, multiplying the number by itself) results in 25 25 . This is the concept of a power, or to be more precise, a square power, which to apply, we must multiply the figure or the number by itself.

The concept of "square root" refers to the inverse operation of squaring numbers.

That is, if we have X2=25X^2=25 and we want to find the value of XX, what we need to do is perform an identical operation on both sides of the equation.

Suggested Topics to Practice in Advance

  1. Exponents and roots
  2. Powers
  3. Exponents for Seventh Graders
  4. The exponent of a power

Practice Square root (for 7th grade)

Exercise #1

441= \sqrt{441}=

Video Solution

Step-by-Step Solution

The root of 441 is 21.

21×21= 21\times21=

21×20+21= 21\times20+21=

420+21=441 420+21=441

Answer

21 21

Exercise #2

64= \sqrt{64}=

Video Solution

Answer

8

Exercise #3

36= \sqrt{36}=

Video Solution

Answer

6

Exercise #4

49= \sqrt{49}=

Video Solution

Answer

7

Exercise #5

Choose the largest value

Video Solution

Answer

25 \sqrt{25}

Exercise #1

121= \sqrt{121}=

Video Solution

Answer

11

Exercise #2

100= \sqrt{100}=

Video Solution

Answer

10

Exercise #3

144= \sqrt{144}=

Video Solution

Answer

12

Exercise #4

x=1 \sqrt{x}=1

Video Solution

Answer

1

Exercise #5

36= \sqrt{36}=

Video Solution

Answer

6

Exercise #1

16= \sqrt{16}=

Video Solution

Answer

4

Exercise #2

x=2 \sqrt{x}=2

Video Solution

Answer

4

Exercise #3

9= \sqrt{9}=

Video Solution

Answer

3

Exercise #4

4= \sqrt{4}=

Video Solution

Answer

2

Exercise #5

225= \sqrt{225}=

Video Solution

Answer

15

Topics learned in later sections

  1. Square Root of a Negative Number