Square Root Of 7 In Simplest Radical Form
Simplify the square root of 7 to its lowest radical form.ANSWER: Square root of 7 is the simplest radical form.
Square root of 7 is the simplest radical form. is in the lowest radical form.
Simplified Radical Form of √7
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 √7, we need to divide into factors.
√7 = √7Step 2: List Perfect Squares
1 is a perfect square and divides 7
Step 3: Divide To Perfect Square
Divide 7 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 7 in its simplest form: Square root of 7 is the simplest radical form.
How do you simplify √7
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 7. Divide 7 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 7 is the simplest radical form..
Simplified Decimal Form of √7
The square root of 7 is approximately 2.646 when expressed in decimal form and you can find additive inverse of a decimal number.
Calculation Table:
Square Root | Answer | Calculation |
---|---|---|
√36 | 6√1 | √2 x √2 x √3 x √3 |
√99 | 3√11 | √3 x √3 x √11 |
√58 | Square root of 58 is the simplest radical form. | √2 x √29 |
√521 | Square root of 521 is the simplest radical form. | √521 |
√898 | Square root of 898 is the simplest radical form. | √2 x √449 |
√140 | 2√35 | √2 x √2 x √5 x √7 |
√9664 | 8√151 | √2 x √2 x √2 x √2 x √2 x √2 x √151 |
√4897 | Square root of 4897 is the simplest radical form. | √59 x √83 |
√7209 | 9√89 | √3 x √3 x √3 x √3 x √89 |