Square Root Of 2689 In Simplest Radical Form

Simplify the square root of 2689 to its lowest radical form.

ANSWER: Square root of 2689 is the simplest radical form.

Square root of 2689 is the simplest radical form. is in the lowest radical form.

Simplified Radical Form of √2689

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 √2689, we need to divide into factors.

√2689 = √2689

Step 2: List Perfect Squares

1 is a perfect square and divides 2689

Step 3: Divide To Perfect Square

Divide 2689 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 2689 in its simplest form: Square root of 2689 is the simplest radical form.

How do you simplify √2689

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 2689. Divide 2689 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 2689 is the simplest radical form..

Simplified Decimal Form of √2689

The square root of 2689 is approximately 51.856 when expressed in decimal form.

Calculation Table:

Square Root Answer Calculation
√17 Square root of 17 is the simplest radical form. √17
√7 Square root of 7 is the simplest radical form. √7
√55 Square root of 55 is the simplest radical form. √5 x √11
√739 Square root of 739 is the simplest radical form. √739
√193 Square root of 193 is the simplest radical form. √193
√221 Square root of 221 is the simplest radical form. √13 x √17
√7978 Square root of 7978 is the simplest radical form. √2 x √3989
√5381 Square root of 5381 is the simplest radical form. √5381
√8663 Square root of 8663 is the simplest radical form. √8663

Convert any root forms to simplest radical form.

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