Square Root Of 1 In Simplest Radical Form

Simplify the square root of 1 to its lowest radical form.

ANSWER: Square root of 1 is the simplest radical form.

Square root of 1 is the simplest radical form. is in the lowest radical form.

Simplified Radical Form of √1

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 √1, we need to divide into factors.

√1 = √

Step 2: List Perfect Squares

1 is a perfect square and divides 1

Step 3: Divide To Perfect Square

Divide 1 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 1 in its simplest form: Square root of 1 is the simplest radical form.

How do you simplify √1

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 1. Divide 1 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 1 is the simplest radical form..

Simplified Decimal Form of √1

The square root of 1 is approximately 1 when expressed in decimal form and you can find additive inverse of a decimal number.

Calculation Table:

Square Root Answer Calculation
√82 Square root of 82 is the simplest radical form. √2 x √41
√41 Square root of 41 is the simplest radical form. √41
√30 Square root of 30 is the simplest radical form. √2 x √3 x √5
√581 Square root of 581 is the simplest radical form. √7 x √83
√592 4√37 √2 x √2 x √2 x √2 x √37
√774 3√86 √2 x √3 x √3 x √43
√8326 Square root of 8326 is the simplest radical form. √2 x √23 x √181
√7596 6√211 √2 x √2 x √3 x √3 x √211
√7210 Square root of 7210 is the simplest radical form. √2 x √5 x √7 x √103

Convert any root forms to simplest radical form.

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