Square Root Of 3658 In Simplest Radical Form

Simplify the square root of 3658 to its lowest radical form.

ANSWER: Square root of 3658 is the simplest radical form.

Square root of 3658 is the simplest radical form. is in the lowest radical form.

Simplified Radical Form of √3658

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 √3658, we need to divide into factors.

√3658 = √2 x √31 x √59

Step 2: List Perfect Squares

1 is a perfect square and divides 3658

Step 3: Divide To Perfect Square

Divide 3658 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 3658 in its simplest form: Square root of 3658 is the simplest radical form.

How do you simplify √3658

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 3658. Divide 3658 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 3658 is the simplest radical form..

Simplified Decimal Form of √3658

The square root of 3658 is approximately 60.481 when expressed in decimal form and you can find additive inverse of a decimal number.

Calculation Table:

Square Root Answer Calculation
√32 4√2 √2 x √2 x √2 x √2 x √2
√65 Square root of 65 is the simplest radical form. √5 x √13
√38 Square root of 38 is the simplest radical form. √2 x √19
√210 Square root of 210 is the simplest radical form. √2 x √3 x √5 x √7
√462 Square root of 462 is the simplest radical form. √2 x √3 x √7 x √11
√851 Square root of 851 is the simplest radical form. √23 x √37
√7963 Square root of 7963 is the simplest radical form. √7963
√3177 3√353 √3 x √3 x √353
√8597 Square root of 8597 is the simplest radical form. √8597

Convert any root forms to simplest radical form.

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