Square Root Of 3157 In Simplest Radical Form

Simplify the square root of 3157 to its lowest radical form.

ANSWER: Square root of 3157 is the simplest radical form.

Square root of 3157 is the simplest radical form. is in the lowest radical form.

Simplified Radical Form of √3157

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 √3157, we need to divide into factors.

√3157 = √7 x √11 x √41

Step 2: List Perfect Squares

1 is a perfect square and divides 3157

Step 3: Divide To Perfect Square

Divide 3157 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 3157 in its simplest form: Square root of 3157 is the simplest radical form.

How do you simplify √3157

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 3157. Divide 3157 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 3157 is the simplest radical form..

Simplified Decimal Form of √3157

The square root of 3157 is approximately 56.187 when expressed in decimal form and you can find additive inverse of a decimal number.

Calculation Table:

Square Root Answer Calculation
√73 Square root of 73 is the simplest radical form. √73
√93 Square root of 93 is the simplest radical form. √3 x √31
√82 Square root of 82 is the simplest radical form. √2 x √41
√359 Square root of 359 is the simplest radical form. √359
√678 Square root of 678 is the simplest radical form. √2 x √3 x √113
√872 2√218 √2 x √2 x √2 x √109
√3312 12√23 √2 x √2 x √2 x √2 x √3 x √3 x √23
√3695 Square root of 3695 is the simplest radical form. √5 x √739
√8234 Square root of 8234 is the simplest radical form. √2 x √23 x √179

Convert any root forms to simplest radical form.

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