Square Root Of 61 In Simplest Radical Form

Simplify the square root of 61 to its lowest radical form.

ANSWER: Square root of 61 is the simplest radical form.

Square root of 61 is the simplest radical form. is in the lowest radical form.

Simplified Radical Form of √61

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 √61, we need to divide into factors.

√61 = √61

Step 2: List Perfect Squares

1 is a perfect square and divides 61

Step 3: Divide To Perfect Square

Divide 61 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 61 in its simplest form: Square root of 61 is the simplest radical form.

How do you simplify √61

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 61. Divide 61 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 61 is the simplest radical form..

Simplified Decimal Form of √61

The square root of 61 is approximately 7.81 when expressed in decimal form.

Calculation Table:

Square Root Answer Calculation
√65 Square root of 65 is the simplest radical form. √5 x √13
√98 7√2 √2 x √7 x √7
√15 Square root of 15 is the simplest radical form. √3 x √5
√721 Square root of 721 is the simplest radical form. √7 x √103
√222 Square root of 222 is the simplest radical form. √2 x √3 x √37
√894 Square root of 894 is the simplest radical form. √2 x √3 x √149
√2518 Square root of 2518 is the simplest radical form. √2 x √1259
√3250 5√130 √2 x √5 x √5 x √5 x √13
√1601 Square root of 1601 is the simplest radical form. √1601

Convert any root forms to simplest radical form.

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