Square Root Of 65610000 In Simplest Radical Form

Simplify the square root of 65610000 to its lowest radical form.

ANSWER: 8100√1

8100√1 is in the lowest radical form.

Simplified Radical Form of √65610000

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 √65610000, we need to divide into factors.

√65610000 = √2 x √2 x √2 x √2 x √3 x √3 x √3 x √3 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 65610000
4 is a perfect square and divides 65610000
9 is a perfect square and divides 65610000
16 is a perfect square and divides 65610000
25 is a perfect square and divides 65610000
36 is a perfect square and divides 65610000
81 is a perfect square and divides 65610000
100 is a perfect square and divides 65610000
144 is a perfect square and divides 65610000
225 is a perfect square and divides 65610000
324 is a perfect square and divides 65610000
400 is a perfect square and divides 65610000
625 is a perfect square and divides 65610000
729 is a perfect square and divides 65610000
900 is a perfect square and divides 65610000
1296 is a perfect square and divides 65610000
2025 is a perfect square and divides 65610000
2500 is a perfect square and divides 65610000
2916 is a perfect square and divides 65610000
3600 is a perfect square and divides 65610000
5625 is a perfect square and divides 65610000
6561 is a perfect square and divides 65610000
8100 is a perfect square and divides 65610000
10000 is a perfect square and divides 65610000
11664 is a perfect square and divides 65610000
18225 is a perfect square and divides 65610000
22500 is a perfect square and divides 65610000
26244 is a perfect square and divides 65610000
32400 is a perfect square and divides 65610000
50625 is a perfect square and divides 65610000
72900 is a perfect square and divides 65610000
90000 is a perfect square and divides 65610000
104976 is a perfect square and divides 65610000
164025 is a perfect square and divides 65610000
202500 is a perfect square and divides 65610000
291600 is a perfect square and divides 65610000
455625 is a perfect square and divides 65610000
656100 is a perfect square and divides 65610000
810000 is a perfect square and divides 65610000
1822500 is a perfect square and divides 65610000
2624400 is a perfect square and divides 65610000
4100625 is a perfect square and divides 65610000
7290000 is a perfect square and divides 65610000
16402500 is a perfect square and divides 65610000
65610000 is a perfect square and divides 65610000

Step 3: Divide To Perfect Square

Divide 65610000 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 65610000 in its simplest form: 8100√1

How do you simplify √65610000

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 65610000. Divide 65610000 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 8100√1.

Simplified Decimal Form of √65610000

The square root of 65610000 is approximately 8100 when expressed in decimal form.

Calculation Table: