Square Root Of 24010000 In Simplest Radical Form
Simplify the square root of 24010000 to its lowest radical form.ANSWER: 4900√1
4900√1 is in the lowest radical form.
Simplified Radical Form of √24010000
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 √24010000, we need to divide into factors.
√24010000 = √2 x √2 x √2 x √2 x √5 x √5 x √5 x √5 x √7 x √7 x √7 x √7Step 2: List Perfect Squares
1 is a perfect square and divides 24010000
4 is a perfect square and divides 24010000
16 is a perfect square and divides 24010000
25 is a perfect square and divides 24010000
49 is a perfect square and divides 24010000
100 is a perfect square and divides 24010000
196 is a perfect square and divides 24010000
400 is a perfect square and divides 24010000
625 is a perfect square and divides 24010000
784 is a perfect square and divides 24010000
1225 is a perfect square and divides 24010000
2401 is a perfect square and divides 24010000
2500 is a perfect square and divides 24010000
4900 is a perfect square and divides 24010000
9604 is a perfect square and divides 24010000
10000 is a perfect square and divides 24010000
19600 is a perfect square and divides 24010000
30625 is a perfect square and divides 24010000
38416 is a perfect square and divides 24010000
60025 is a perfect square and divides 24010000
122500 is a perfect square and divides 24010000
240100 is a perfect square and divides 24010000
490000 is a perfect square and divides 24010000
960400 is a perfect square and divides 24010000
1500625 is a perfect square and divides 24010000
6002500 is a perfect square and divides 24010000
24010000 is a perfect square and divides 24010000
Step 3: Divide To Perfect Square
Divide 24010000 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 24010000 in its simplest form: 4900√1
How do you simplify √24010000
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 24010000. Divide 24010000 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 4900√1.
Simplified Decimal Form of √24010000
The square root of 24010000 is approximately 4900 when expressed in decimal form and you can find additive inverse of a decimal number.
Calculation Table:
| Square Root | Answer | Calculation |
|---|---|---|
| √10 | Square root of 10 is the simplest radical form. | √2 x √5 |
| √68 | 2√17 | √2 x √2 x √17 |
| √59 | Square root of 59 is the simplest radical form. | √59 |
| √462 | Square root of 462 is the simplest radical form. | √2 x √3 x √7 x √11 |
| √375 | 5√15 | √3 x √5 x √5 x √5 |
| √289 | 17√1 | √17 x √17 |
| √8578 | Square root of 8578 is the simplest radical form. | √2 x √4289 |
| √1808 | 4√113 | √2 x √2 x √2 x √2 x √113 |
| √9560 | 2√2390 | √2 x √2 x √2 x √5 x √239 |