Square Root Of 14776336 In Simplest Radical Form
Simplify the square root of 14776336 to its lowest radical form.ANSWER: 3844√1
3844√1 is in the lowest radical form.
Simplified Radical Form of √14776336
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 √14776336, we need to divide into factors.
√14776336 = √2 x √2 x √2 x √2 x √31 x √31 x √31 x √31Step 2: List Perfect Squares
1 is a perfect square and divides 14776336
4 is a perfect square and divides 14776336
16 is a perfect square and divides 14776336
961 is a perfect square and divides 14776336
3844 is a perfect square and divides 14776336
15376 is a perfect square and divides 14776336
923521 is a perfect square and divides 14776336
3694084 is a perfect square and divides 14776336
14776336 is a perfect square and divides 14776336
Step 3: Divide To Perfect Square
Divide 14776336 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 14776336 in its simplest form: 3844√1
How do you simplify √14776336
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 14776336. Divide 14776336 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 3844√1.
Simplified Decimal Form of √14776336
The square root of 14776336 is approximately 3844 when expressed in decimal form.
Calculation Table:
| Square Root | Answer | Calculation |
|---|---|---|
| √93 | Square root of 93 is the simplest radical form. | √3 x √31 |
| √31 | Square root of 31 is the simplest radical form. | √31 |
| √27 | 3√3 | √3 x √3 x √3 |
| √898 | Square root of 898 is the simplest radical form. | √2 x √449 |
| √756 | 6√21 | √2 x √2 x √3 x √3 x √3 x √7 |
| √605 | 11√5 | √5 x √11 x √11 |
| √4590 | 3√510 | √2 x √3 x √3 x √3 x √5 x √17 |
| √7350 | 35√6 | √2 x √3 x √5 x √5 x √7 x √7 |
| √3588 | 2√897 | √2 x √2 x √3 x √13 x √23 |