Square Root Of 12960000 In Simplest Radical Form

Simplify the square root of 12960000 to its lowest radical form.

ANSWER: 3600√1

3600√1 is in the lowest radical form.

Simplified Radical Form of √12960000

One of the main facts used to simplify square roots is that the square root of a product is equal to the product of square roots: √(x×y) = √x×√y

Explanation:

When we find square root of any number, we take one number from each pair of the same numbers from its prime factorization and we multiply them.

Step 1: List Factors

To simplify √12960000, we need to divide into factors.

√12960000 = √2 x √2 x √2 x √2 x √2 x √2 x √2 x √2 x √3 x √3 x √3 x √3 x √5 x √5 x √5 x √5

Step 2: List Perfect Squares

1 is a perfect square and divides 12960000
4 is a perfect square and divides 12960000
9 is a perfect square and divides 12960000
16 is a perfect square and divides 12960000
25 is a perfect square and divides 12960000
36 is a perfect square and divides 12960000
64 is a perfect square and divides 12960000
81 is a perfect square and divides 12960000
100 is a perfect square and divides 12960000
144 is a perfect square and divides 12960000
225 is a perfect square and divides 12960000
256 is a perfect square and divides 12960000
324 is a perfect square and divides 12960000
400 is a perfect square and divides 12960000
576 is a perfect square and divides 12960000
625 is a perfect square and divides 12960000
900 is a perfect square and divides 12960000
1296 is a perfect square and divides 12960000
1600 is a perfect square and divides 12960000
2025 is a perfect square and divides 12960000
2304 is a perfect square and divides 12960000
2500 is a perfect square and divides 12960000
3600 is a perfect square and divides 12960000
5184 is a perfect square and divides 12960000
5625 is a perfect square and divides 12960000
6400 is a perfect square and divides 12960000
8100 is a perfect square and divides 12960000
10000 is a perfect square and divides 12960000
14400 is a perfect square and divides 12960000
20736 is a perfect square and divides 12960000
22500 is a perfect square and divides 12960000
32400 is a perfect square and divides 12960000
40000 is a perfect square and divides 12960000
50625 is a perfect square and divides 12960000
57600 is a perfect square and divides 12960000
90000 is a perfect square and divides 12960000
129600 is a perfect square and divides 12960000
160000 is a perfect square and divides 12960000
202500 is a perfect square and divides 12960000
360000 is a perfect square and divides 12960000
518400 is a perfect square and divides 12960000
810000 is a perfect square and divides 12960000
1440000 is a perfect square and divides 12960000
3240000 is a perfect square and divides 12960000
12960000 is a perfect square and divides 12960000

Step 3: Divide To Perfect Square

Divide 12960000 by the largest perfect square you found in the previous step:

Step 4: Calculate The Square Root

Calculate the square root of the largest perfect square:

Final Step :

Put Steps 3 and 4 together to get the square root of 12960000 in its simplest form: 3600√1

How do you simplify √12960000

The general approach is to first check if it is a perfect square. If so, you have the answer. If it is not a perfect square, see if any of its factors are perfect squares, or can be combined to make square numbers.

Find the lowest prime number that can divide 12960000. Divide 12960000 repeatedly using the long division method till you reach 1.

A pair of factor 'twins' under a square root sign (radical) form a single factor outside of it.

Factors that do not have a twin remain under the radical. Multiply them back together and leave them in there.

So, the answer is 3600√1.

Simplified Decimal Form of √12960000

The square root of 12960000 is approximately 3600 when expressed in decimal form.

Calculation Table: