What will be the square root of 39204?

198
So, we can see that the square root of the given number is equal to 198. Hence the value of \[\sqrt {39204} \] is equal to 198.

What is the square root of 7056 by prime factorization method?

Now, by the first step try to think of a number whose square is just less than 70. Hence, the square root of 7056 is 84 as remainder becomes 0. Note: Check the square root by prime factorization as well by making a group of two same numbers.

What is the square root of 729 by prime factorization method?

The prime factorization of 729 is 3 × 3 × 3 × 3 × 3 × 3 which consists of 3 pairs of the same number, 3 × 3 x 3. Thus, the square root of 729 = 9 × 3 = 27.

What is the square root of 55225 by division method?

Detailed Solution. ∴ The square root is 235.

What is square root factorization?

Square root of a number is the value that returns the original number on multiplied by itself. Finding square root by prime factorisation is an easy method. For example, the square root of 9 is √9 = √(3×3) = 3. We can see, 9 is a perfect square and hence it is easier to find the root of such numbers.

What is the square of 8100?

90
Square root of 8100 is 90.

What is the square root of 784 by prime factorization method?

Thus, by prime factorisation method, we obtain the square root of 784 to be 28. The correct answer is 28.

What is the prime factorization of 625?

625 can be expressed as, 625 = 5 × 5 × 5 × 5. Therefore, the distinct prime factor is 5.

What is the square root of 39204?

Determine The Square Root Of 39204? The square root of thirty-nine thousand, two hundred and four √39204 = 198 How To Calculate Square Roots In mathematics, a square root of a number a is a number y such that y² = a, in other words, a number y whose square (the result of multiplying the number by itself, or y * y) is a.

How do you find the prime factorization of a square number?

It can be observed that the prime factors in the prime factorisation of a square number, occur twice the number of times, it occurs in the number itself. For example, let us find the prime factors of 576. For finding the square root, firstly we have to pair the common factors.

What is the square root of 9 using prime factorization?

Finding square root by prime factorisation is an easy method. We need to factories the number under the root and pair them in two. For example, the square root of 9 is √9 = √ (3×3) = 3. We can see, 9 is a perfect square and hence it is easier to find the root of such numbers.