SQUARE AND SQUARE ROOT (M.C)

The name of the square root symbol is called a (a)  

Which of the following represents 4² ?

• 
• 
• 
• 

• 162

• 18

• 81

• 9

Answer explanation

To find \( \sqrt{324} \), we look for a number that, when multiplied by itself, equals 324. The correct calculation shows that \( 18 \times 18 = 324 \), making 18 the square root of 324.

Which of the following will result in 144? REMEMBER TO USE YOUR CALCULATOR.

Answer explanation

To find which option results in 144, we calculate each: 72^2 = 5184, \sqrt[]{12} \approx 3.46, 12^2 = 144, and \sqrt[]{144} = 12. The correct choice is 12^2, which equals 144.

What is the area of a square with a side of 12?

• 144

• 24

• 48

• 6

Answer explanation

The area of a square is calculated by squaring the length of one side. Here, the side length is 12. Therefore, the area = 12 x 12 = 144. Thus, the correct answer is 144.

The √21 is between which two integers?

• 5 and 6

• 20 and 22

• 4 and 5

• 10 and 11

Answer explanation

To find √21, we note that 4² = 16 and 5² = 25. Since 21 is between 16 and 25, √21 is between 4 and 5. Thus, the correct answer is 4 and 5.

What is the area of a square with a side of 7?

• 14

• 28

• 49

• 64

Answer explanation

The area of a square is calculated by squaring the length of one side. Here, the side length is 7. Thus, the area = 7 x 7 = 49. Therefore, the correct answer is 49.

Which of the following is NOT a perfect square?

• 1

• 4

• 100

• 8

Answer explanation

A perfect square is an integer that is the square of another integer. The numbers 1 (1x1), 4 (2x2), and 100 (10x10) are perfect squares, while 8 cannot be expressed as the square of an integer, making it the correct answer.

To find the square root of a number, you must divide it by 2.

• True

• False

Answer explanation

The statement is false. To find the square root of a number, you do not divide it by 2. Instead, you can use methods like the prime factorization or the Newton-Raphson method.

Between which 2 consecutive numbers on the number line does the square root of 23 lie?

• -5 and -4

• -2 and -1

• 2 and 3

• 4 and 5

Answer explanation

The square root of 23 is approximately 4.79. It lies between 4 (4^2 = 16) and 5 (5^2 = 25), making the correct choice 4 and 5.