Question: What’S The Perfect Square Of 48?

How do you simplify radical 45?

Since radical 45 is equal to radical 9 times radical 5, and because radical 9 is equal to 3 (since 9 is a perfect square), we can simplify radical 45 to 3 times radical 5 (see the diagram below for a more detailed look on how to simplify square roots)..

How do you simplify radicals?

Step 1: Find the prime factorization of the number inside the radical. Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind. Step 3: Move each group of numbers or variables from inside the radical to outside the radical.

Is 48 a perfect square?

Is 48 a perfect square number? A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 48 is about 6.928.

What is the square of 48?

So the square of 48 is, by definition, a perfect square. For example: 9 is the square of 3, we say “9 is a perfect square” (“it is the square of 3”). We do not need to say (and so we don’t) that “9 is the perfect square of 3”.

What is the perfect square of 47?

2,209Table of Squares and Square RootsNUMBERSQUARESQUARE ROOT441,9366.633452,0256.708462,1166.782472,2096.85696 more rows

What are the prime numbers of 48?

Answer and Explanation: The prime factorization of 48 is 2 × 2 × 2 × 2 × 3. We can find the prime factorization of 48 using a factor tree.

What are the factors of 48?

48 is a composite number. 48 = 1 x 48, 2 x 24, 3 x 16, 4 x 12, or 6 x 8. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Prime factorization: 48 = 2 x 2 x 2 x 2 x 3, which can also be written 48 = 2⁴ x 3.

What is the product of prime factors of 48?

The number 48 expressed as a product of its prime factors is 2 x 2 x 2 x 2 x 3.

Is 47 a prime number Yes or no?

When a number has more than two factors it is called a composite number. Here are the first few prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, etc.

Is 50 a perfect square?

Explanation: 50 is not the perfect square of an integer or rational number. … It is a square of an irrational, algebraic, real number, namely 5√2 , therefore you could call it a perfect square in the context of the algebraic numbers.

Is 2 a perfect square?

Answer: YES, 2 is in the list of numbers that are never perfect squares. The number 2 is NOT a perfect square and we can stop here as there is not need to complete the rest of the steps.

What are the common factors of 18 and 48?

We found the factors and prime factorization of 18 and 48. The biggest common factor number is the GCF number. So the greatest common factor 18 and 48 is 6.

What are the factors of 48 and 64?

The gcf of 48 and 64 can be obtained like this:The factors of 48 are 48, 24, 16, 12, 8, 6, 4, 3, 2, 1.The factors of 64 are 64, 32, 16, 8, 4, 2, 1.The common factors of 48 and 64 are 16, 8, 4, 2, 1, intersecting the two sets above.In the intersection factors of 48 ∩ factors of 64 the greatest element is 16.More items…