Mastering Square Numbers and Roots

What is the square of 12?

• 100

• 1440

• 144

• 120

Answer explanation

The square of a number is found by multiplying the number by itself. For 12, this is 12 x 12 = 144. Therefore, the correct answer is 144.

Tags

CCSS.8.EE.A.2

Identify if 49 is a square number.

• 49 is a prime number.

• Yes, 49 is a square number.

• No, 49 is not a square number.

• 49 is a cube number.

Answer explanation

49 is a square number because it can be expressed as 7 x 7. Therefore, the correct answer is 'Yes, 49 is a square number.'

What is the square root of 144?

• 10

• 14

• 12

• 16

Answer explanation

The square root of 144 is the number that, when multiplied by itself, equals 144. Since 12 x 12 = 144, the correct answer is 12.

Tags

CCSS.8.EE.A.2

Is 50 a perfect square?

• No

• 25

• 100

• Yes

• 49

Answer explanation

50 is not a perfect square because there is no integer that, when multiplied by itself, equals 50. The closest perfect squares are 49 (7x7) and 64 (8x8). Therefore, the correct answer is No.

Tags

CCSS.6.EE.A.1

Solve for x: x² = 64.

• x = 4

• x = 0

• x = -4

• x = 8, x = -8

Answer explanation

To solve x² = 64, take the square root of both sides. This gives x = ±8. Therefore, the correct answers are x = 8 and x = -8.

Tags

CCSS.8.EE.A.2

Estimate the square root of 50.

• 8.0

• 6.5

• 7.5

• 7.07

Answer explanation

The square root of 50 is approximately 7.07. This is because 7.07 x 7.07 = 49.5049, which is close to 50. The other options are either too high or too low, making 7.07 the best estimate.

Tags

CCSS.8.NS.A.2

What is the square of 8?

• 80

• 64

• 32

• 48

Answer explanation

The square of a number is found by multiplying the number by itself. For 8, this is 8 x 8 = 64. Therefore, the correct answer is 64.

Tags

CCSS.6.EE.A.1

Find the square root of 81.

• 9

• 10

• 7

• 8

Answer explanation

The square root of 81 is the number that, when multiplied by itself, equals 81. Since 9 x 9 = 81, the correct answer is 9.

Tags

CCSS.8.EE.A.2

Is 36 a perfect square?

• 36 is a prime number

• Yes

• 36 is an odd number

• No, 36 is not a perfect square

Answer explanation

Yes, 36 is a perfect square because it can be expressed as 6 x 6. The other options are incorrect; 36 is not a prime number and it is an even number.

If y² = 121, what is y?

• 10

• 12

• -10

• 11 and -11

Answer explanation

To solve y² = 121, take the square root of both sides. This gives y = ±√121, which simplifies to y = ±11. Therefore, the correct answer is 11 and -11.

Tags

CCSS.8.EE.A.2