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.
Calculation Table:
Square Root | Answer | Calculation |
---|---|---|
√81 | 9√1 | √3 x √3 x √3 x √3 |
√54 | 3√6 | √2 x √3 x √3 x √3 |
√23 | Square root of 23 is the simplest radical form. | √23 |
√357 | Square root of 357 is the simplest radical form. | √3 x √7 x √17 |
√748 | 2√187 | √2 x √2 x √11 x √17 |
√864 | 12√6 | √2 x √2 x √2 x √2 x √2 x √3 x √3 x √3 |
√4792 | 2√1198 | √2 x √2 x √2 x √599 |
√8651 | Square root of 8651 is the simplest radical form. | √41 x √211 |
√5505 | Square root of 5505 is the simplest radical form. | √3 x √5 x √367 |