Square Root Of 2470 In Simplest Radical Form

Simplify the square root of 2470 to its lowest radical form.

ANSWER: Square root of 2470 is the simplest radical form.

Square root of 2470 is the simplest radical form. is in the lowest radical form.

Simplified Radical Form of √2470

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 √2470, we need to divide into factors.

√2470 = √2 x √5 x √13 x √19

Step 2: List Perfect Squares

1 is a perfect square and divides 2470

Step 3: Divide To Perfect Square

Divide 2470 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 2470 in its simplest form: Square root of 2470 is the simplest radical form.

How do you simplify √2470

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 2470. Divide 2470 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 2470 is the simplest radical form..

Simplified Decimal Form of √2470

The square root of 2470 is approximately 49.699 when expressed in decimal form and you can find additive inverse of a decimal number.

Calculation Table:

Square Root Answer Calculation
√58 Square root of 58 is the simplest radical form. √2 x √29
√72 6√2 √2 x √2 x √2 x √3 x √3
√59 Square root of 59 is the simplest radical form. √59
√781 Square root of 781 is the simplest radical form. √11 x √71
√299 Square root of 299 is the simplest radical form. √13 x √23
√756 6√21 √2 x √2 x √3 x √3 x √3 x √7
√7174 Square root of 7174 is the simplest radical form. √2 x √17 x √211
√6731 Square root of 6731 is the simplest radical form. √53 x √127
√1013 Square root of 1013 is the simplest radical form. √1013

Convert any root forms to simplest radical form.

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