Square Root Of 95 In Simplest Radical Form

Simplify the square root of 95 to its lowest radical form.

ANSWER: Square root of 95 is the simplest radical form.

Square root of 95 is the simplest radical form. is in the lowest radical form.

Simplified Radical Form of √95

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 √95, we need to divide into factors.

√95 = √5 x √19

Step 2: List Perfect Squares

1 is a perfect square and divides 95

Step 3: Divide To Perfect Square

Divide 95 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 95 in its simplest form: Square root of 95 is the simplest radical form.

How do you simplify √95

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 95. Divide 95 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 95 is the simplest radical form..

Simplified Decimal Form of √95

The square root of 95 is approximately 9.747 when expressed in decimal form and you can find additive inverse of a decimal number.

Calculation Table:

Square Root Answer Calculation
√84 2√21 √2 x √2 x √3 x √7
√75 5√3 √3 x √5 x √5
√81 9√1 √3 x √3 x √3 x √3
√700 10√7 √2 x √2 x √5 x √5 x √7
√341 Square root of 341 is the simplest radical form. √11 x √31
√869 Square root of 869 is the simplest radical form. √11 x √79
√1555 Square root of 1555 is the simplest radical form. √5 x √311
√8638 Square root of 8638 is the simplest radical form. √2 x √7 x √617
√4893 Square root of 4893 is the simplest radical form. √3 x √7 x √233

Convert any root forms to simplest radical form.

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