Square Root Of 2 In Simplest Radical Form
Simplify the square root of 2 to its lowest radical form.ANSWER: Square root of 2 is the simplest radical form.
Square root of 2 is the simplest radical form. is in the lowest radical form.
Simplified Radical Form of √2
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 √2, we need to divide into factors.
√2 = √2Step 2: List Perfect Squares
1 is a perfect square and divides 2
Step 3: Divide To Perfect Square
Divide 2 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 2 in its simplest form: Square root of 2 is the simplest radical form.
How do you simplify √2
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 2. Divide 2 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 Square root of 2 is the simplest radical form..
Simplified Decimal Form of √2
The square root of 2 is approximately 1.414 when expressed in decimal form and you can find additive inverse of a decimal number.
Calculation Table:
Square Root | Answer | Calculation |
---|---|---|
√70 | Square root of 70 is the simplest radical form. | √2 x √5 x √7 |
√97 | Square root of 97 is the simplest radical form. | √97 |
√86 | Square root of 86 is the simplest radical form. | √2 x √43 |
√107 | Square root of 107 is the simplest radical form. | √107 |
√493 | Square root of 493 is the simplest radical form. | √17 x √29 |
√175 | 5√7 | √5 x √5 x √7 |
√4703 | Square root of 4703 is the simplest radical form. | √4703 |
√3874 | Square root of 3874 is the simplest radical form. | √2 x √13 x √149 |
√6926 | Square root of 6926 is the simplest radical form. | √2 x √3463 |