Square Root Of 5 In Simplest Radical Form
Simplify the square root of 5 to its lowest radical form.ANSWER: Square root of 5 is the simplest radical form.
Square root of 5 is the simplest radical form. is in the lowest radical form.
Simplified Radical Form of √5
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 √5, we need to divide into factors.
√5 = √5Step 2: List Perfect Squares
1 is a perfect square and divides 5
Step 3: Divide To Perfect Square
Divide 5 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 5 in its simplest form: Square root of 5 is the simplest radical form.
How do you simplify √5
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 5. Divide 5 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 5 is the simplest radical form..
Simplified Decimal Form of √5
The square root of 5 is approximately 2.236 when expressed in decimal form and you can find additive inverse of a decimal number.
Calculation Table:
Square Root | Answer | Calculation |
---|---|---|
√16 | 4√1 | √2 x √2 x √2 x √2 |
√89 | Square root of 89 is the simplest radical form. | √89 |
√97 | Square root of 97 is the simplest radical form. | √97 |
√973 | Square root of 973 is the simplest radical form. | √7 x √139 |
√508 | 2√127 | √2 x √2 x √127 |
√674 | Square root of 674 is the simplest radical form. | √2 x √337 |
√5309 | Square root of 5309 is the simplest radical form. | √5309 |
√9516 | 2√2379 | √2 x √2 x √3 x √13 x √61 |
√1167 | Square root of 1167 is the simplest radical form. | √3 x √389 |