Square Root Of 6773 In Simplest Radical Form

Simplify the square root of 6773 to its lowest radical form.

ANSWER: Square root of 6773 is the simplest radical form.

Square root of 6773 is the simplest radical form. is in the lowest radical form.

Simplified Radical Form of √6773

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 √6773, we need to divide into factors.

√6773 = √13 x √521

Step 2: List Perfect Squares

1 is a perfect square and divides 6773

Step 3: Divide To Perfect Square

Divide 6773 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 6773 in its simplest form: Square root of 6773 is the simplest radical form.

How do you simplify √6773

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 6773. Divide 6773 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 6773 is the simplest radical form..

Simplified Decimal Form of √6773

The square root of 6773 is approximately 82.298 when expressed in decimal form and you can find additive inverse of a decimal number.

Calculation Table:

Square Root Answer Calculation
√86 Square root of 86 is the simplest radical form. √2 x √43
√4 2√1 √2 x √2
√38 Square root of 38 is the simplest radical form. √2 x √19
√943 Square root of 943 is the simplest radical form. √23 x √41
√866 Square root of 866 is the simplest radical form. √2 x √433
√390 Square root of 390 is the simplest radical form. √2 x √3 x √5 x √13
√4630 Square root of 4630 is the simplest radical form. √2 x √5 x √463
√9765 3√1085 √3 x √3 x √5 x √7 x √31
√4427 Square root of 4427 is the simplest radical form. √19 x √233

Convert any root forms to simplest radical form.

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