Arrange the numbers from least to greatest: square root of 441, GCF of 60 and 75, LCM of 6 and 14, quotient of 132 and 6.

Prepare for the Academic Team Math Test with our comprehensive quizzes. Master complex problems with flashcards and multiple-choice questions, each featuring detailed hints and explanations. Ace your exam and boost your math skills!

Multiple Choice

Arrange the numbers from least to greatest: square root of 441, GCF of 60 and 75, LCM of 6 and 14, quotient of 132 and 6.

Explanation:
To determine the correct arrangement of the numbers from least to greatest, we first need to evaluate each mathematical expression involved. 1. The square root of 441 is 21 since \(21 \times 21 = 441\). 2. The greatest common factor (GCF) of 60 and 75 can be found by identifying the prime factorization of both numbers. The prime factorization of 60 is \(2^2 \times 3 \times 5\) and for 75, it is \(3 \times 5^2\). The GCF is the product of the lowest powers of the common primes, which results in \(3 \times 5 = 15\). 3. The least common multiple (LCM) of 6 and 14 has to include each prime factor at its highest power. The prime factorization of 6 is \(2 \times 3\) and of 14 is \(2 \times 7\). The LCM is therefore \(2^1 \times 3^1 \times 7^1 = 42\). 4. The quotient of 132 and 6 can be calculated directly, yielding \(132 \div 6 =

To determine the correct arrangement of the numbers from least to greatest, we first need to evaluate each mathematical expression involved.

  1. The square root of 441 is 21 since (21 \times 21 = 441).
  1. The greatest common factor (GCF) of 60 and 75 can be found by identifying the prime factorization of both numbers. The prime factorization of 60 is (2^2 \times 3 \times 5) and for 75, it is (3 \times 5^2). The GCF is the product of the lowest powers of the common primes, which results in (3 \times 5 = 15).

  2. The least common multiple (LCM) of 6 and 14 has to include each prime factor at its highest power. The prime factorization of 6 is (2 \times 3) and of 14 is (2 \times 7). The LCM is therefore (2^1 \times 3^1 \times 7^1 = 42).

  3. The quotient of 132 and 6 can be calculated directly, yielding (132 \div 6 =

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy