Square Root Of 96059601 In Simplest Radical Form
Simplify the square root of 96059601 to its lowest radical form.ANSWER: 9801√1
9801√1 is in the lowest radical form.
Simplified Radical Form of √96059601
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 √96059601, we need to divide into factors.
√96059601 = √3 x √3 x √3 x √3 x √3 x √3 x √3 x √3 x √11 x √11 x √11 x √11Step 2: List Perfect Squares
1 is a perfect square and divides 96059601
9 is a perfect square and divides 96059601
81 is a perfect square and divides 96059601
121 is a perfect square and divides 96059601
729 is a perfect square and divides 96059601
1089 is a perfect square and divides 96059601
6561 is a perfect square and divides 96059601
9801 is a perfect square and divides 96059601
14641 is a perfect square and divides 96059601
88209 is a perfect square and divides 96059601
131769 is a perfect square and divides 96059601
793881 is a perfect square and divides 96059601
1185921 is a perfect square and divides 96059601
10673289 is a perfect square and divides 96059601
96059601 is a perfect square and divides 96059601
Step 3: Divide To Perfect Square
Divide 96059601 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 96059601 in its simplest form: 9801√1
How do you simplify √96059601
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 96059601. Divide 96059601 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 9801√1.
Simplified Decimal Form of √96059601
The square root of 96059601 is approximately 9801 when expressed in decimal form.
Calculation Table:
| Square Root | Answer | Calculation |
|---|---|---|
| √99 | 3√11 | √3 x √3 x √11 |
| √22 | Square root of 22 is the simplest radical form. | √2 x √11 |
| √59 | Square root of 59 is the simplest radical form. | √59 |
| √645 | Square root of 645 is the simplest radical form. | √3 x √5 x √43 |
| √562 | Square root of 562 is the simplest radical form. | √2 x √281 |
| √759 | Square root of 759 is the simplest radical form. | √3 x √11 x √23 |
| √4567 | Square root of 4567 is the simplest radical form. | √4567 |
| √7714 | Square root of 7714 is the simplest radical form. | √2 x √7 x √19 x √29 |
| √6638 | Square root of 6638 is the simplest radical form. | √2 x √3319 |