Square Root Of 11316496 In Simplest Radical Form
Simplify the square root of 11316496 to its lowest radical form.ANSWER: 3364√1
3364√1 is in the lowest radical form.
Simplified Radical Form of √11316496
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 √11316496, we need to divide into factors.
√11316496 = √2 x √2 x √2 x √2 x √29 x √29 x √29 x √29Step 2: List Perfect Squares
1 is a perfect square and divides 11316496
4 is a perfect square and divides 11316496
16 is a perfect square and divides 11316496
841 is a perfect square and divides 11316496
3364 is a perfect square and divides 11316496
13456 is a perfect square and divides 11316496
707281 is a perfect square and divides 11316496
2829124 is a perfect square and divides 11316496
11316496 is a perfect square and divides 11316496
Step 3: Divide To Perfect Square
Divide 11316496 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 11316496 in its simplest form: 3364√1
How do you simplify √11316496
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 11316496. Divide 11316496 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 3364√1.
Simplified Decimal Form of √11316496
The square root of 11316496 is approximately 3364 when expressed in decimal form.
Calculation Table:
| Square Root | Answer | Calculation |
|---|---|---|
| √55 | Square root of 55 is the simplest radical form. | √5 x √11 |
| √17 | Square root of 17 is the simplest radical form. | √17 |
| √80 | 4√5 | √2 x √2 x √2 x √2 x √5 |
| √656 | 4√41 | √2 x √2 x √2 x √2 x √41 |
| √638 | Square root of 638 is the simplest radical form. | √2 x √11 x √29 |
| √680 | 2√170 | √2 x √2 x √2 x √5 x √17 |
| √2358 | 3√262 | √2 x √3 x √3 x √131 |
| √3780 | 6√105 | √2 x √2 x √3 x √3 x √3 x √5 x √7 |
| √4562 | Square root of 4562 is the simplest radical form. | √2 x √2281 |