Square Root Of 2560000 In Simplest Radical Form
Simplify the square root of 2560000 to its lowest radical form.ANSWER: 1600√1
1600√1 is in the lowest radical form.
Simplified Radical Form of √2560000
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 √2560000, we need to divide into factors.
√2560000 = √2 x √2 x √2 x √2 x √2 x √2 x √2 x √2 x √2 x √2 x √2 x √2 x √5 x √5 x √5 x √5Step 2: List Perfect Squares
1 is a perfect square and divides 2560000
4 is a perfect square and divides 2560000
16 is a perfect square and divides 2560000
25 is a perfect square and divides 2560000
64 is a perfect square and divides 2560000
100 is a perfect square and divides 2560000
256 is a perfect square and divides 2560000
400 is a perfect square and divides 2560000
625 is a perfect square and divides 2560000
1024 is a perfect square and divides 2560000
1600 is a perfect square and divides 2560000
2500 is a perfect square and divides 2560000
4096 is a perfect square and divides 2560000
6400 is a perfect square and divides 2560000
10000 is a perfect square and divides 2560000
25600 is a perfect square and divides 2560000
40000 is a perfect square and divides 2560000
102400 is a perfect square and divides 2560000
160000 is a perfect square and divides 2560000
640000 is a perfect square and divides 2560000
2560000 is a perfect square and divides 2560000
Step 3: Divide To Perfect Square
Divide 2560000 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 2560000 in its simplest form: 1600√1
How do you simplify √2560000
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 2560000. Divide 2560000 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 1600√1.
Simplified Decimal Form of √2560000
The square root of 2560000 is approximately 1600 when expressed in decimal form.
Calculation Table:
| Square Root | Answer | Calculation |
|---|---|---|
| √56 | 2√14 | √2 x √2 x √2 x √7 |
| √39 | Square root of 39 is the simplest radical form. | √3 x √13 |
| √8 | 2√2 | √2 x √2 x √2 |
| √541 | Square root of 541 is the simplest radical form. | √541 |
| √451 | Square root of 451 is the simplest radical form. | √11 x √41 |
| √398 | Square root of 398 is the simplest radical form. | √2 x √199 |
| √1237 | Square root of 1237 is the simplest radical form. | √1237 |
| √8343 | 9√103 | √3 x √3 x √3 x √3 x √103 |
| √3827 | Square root of 3827 is the simplest radical form. | √43 x √89 |