Square Root Of 26873856 In Simplest Radical Form
Simplify the square root of 26873856 to its lowest radical form.ANSWER: 5184√1
5184√1 is in the lowest radical form.
Simplified Radical Form of √26873856
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 √26873856, we need to divide into factors.
√26873856 = √2 x √2 x √2 x √2 x √2 x √2 x √2 x √2 x √2 x √2 x √2 x √2 x √3 x √3 x √3 x √3 x √3 x √3 x √3 x √3Step 2: List Perfect Squares
1 is a perfect square and divides 26873856
4 is a perfect square and divides 26873856
9 is a perfect square and divides 26873856
16 is a perfect square and divides 26873856
36 is a perfect square and divides 26873856
64 is a perfect square and divides 26873856
81 is a perfect square and divides 26873856
144 is a perfect square and divides 26873856
256 is a perfect square and divides 26873856
324 is a perfect square and divides 26873856
576 is a perfect square and divides 26873856
729 is a perfect square and divides 26873856
1024 is a perfect square and divides 26873856
1296 is a perfect square and divides 26873856
2304 is a perfect square and divides 26873856
2916 is a perfect square and divides 26873856
4096 is a perfect square and divides 26873856
5184 is a perfect square and divides 26873856
6561 is a perfect square and divides 26873856
9216 is a perfect square and divides 26873856
11664 is a perfect square and divides 26873856
20736 is a perfect square and divides 26873856
26244 is a perfect square and divides 26873856
36864 is a perfect square and divides 26873856
46656 is a perfect square and divides 26873856
82944 is a perfect square and divides 26873856
104976 is a perfect square and divides 26873856
186624 is a perfect square and divides 26873856
331776 is a perfect square and divides 26873856
419904 is a perfect square and divides 26873856
746496 is a perfect square and divides 26873856
1679616 is a perfect square and divides 26873856
2985984 is a perfect square and divides 26873856
6718464 is a perfect square and divides 26873856
26873856 is a perfect square and divides 26873856
Step 3: Divide To Perfect Square
Divide 26873856 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 26873856 in its simplest form: 5184√1
How do you simplify √26873856
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 26873856. Divide 26873856 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 5184√1.
Simplified Decimal Form of √26873856
The square root of 26873856 is approximately 5184 when expressed in decimal form.
Calculation Table:
| Square Root | Answer | Calculation |
|---|---|---|
| √63 | 3√7 | √3 x √3 x √7 |
| √64 | 8√1 | √2 x √2 x √2 x √2 x √2 x √2 |
| √41 | Square root of 41 is the simplest radical form. | √41 |
| √144 | 12√1 | √2 x √2 x √2 x √2 x √3 x √3 |
| √856 | 2√214 | √2 x √2 x √2 x √107 |
| √986 | Square root of 986 is the simplest radical form. | √2 x √17 x √29 |
| √3244 | 2√811 | √2 x √2 x √811 |
| √6762 | 7√138 | √2 x √3 x √7 x √7 x √23 |
| √3271 | Square root of 3271 is the simplest radical form. | √3271 |