sat Math assist » Arithmetic » decimals » simple Squaring / Square root » how to find the square source of a decimal

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Explanation:

The easiest method to discover the square root of a fraction is to transform it into scientific notation. 

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The vital is that the exponent in scientific notation needs to be also for a square root due to the fact that the square root of an exponent is diving the by two. The square source of 9 is 3, for this reason the square source of 8.1 is a tiny bit much less than 3, around 2.8

 

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Explanation:

To find the square root of this decimal we transform it right into scientific notation.

You are watching: How to convert decimal to square root

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Because  has an even exponent, we deserve to divide the exponenet by 2 to obtain its square root.

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Explanation:

This difficulty can be solve more easily by rewriting the decimal into scientific notation.

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Because 

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 has an even exponent, we have the right to take the square source of it by separating it through 2. The square source of 4 is 2, and also the square root of 1 is 1, therefore the square root of 2.5 is less than 2 and also greater than 1.

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Explanation:

This difficulty becomes much much easier if we rewrite the decimal in scientific notation

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Because 

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 has an also exponent, we deserve to take that is square root by dividing it by two. The square source of 4 is 2, and because 3.6 is a little smaller than 4, that square root is a tiny smaller than 2, around 1.9

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Explanation:

To find the square root of this decimal we convert it into scientific notation.

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Because 

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 has an also exponent, we deserve to divide the exponenet by 2 to acquire its square root. The square root of 9 is 3, and also the square root of 4 is two, therefore the square source of 6.4 is between 3 and also 2, about 2.53

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Explanation:

To find the square source of this decimal we transform it into scientific notation.

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Because 

*
 has an even exponent, we deserve to divide the exponenet through 2 to obtain its square root. 
*
 is a perfect square, whose square source is 
*
.

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Explanation:

To uncover the square source of this decimal we transform it into scientific notation.

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Because 

*
 has an also exponent, we can divide the exponenet through 2 to acquire its square root. The square source of 9 is 3, for this reason the square root of 10 have to be a small larger 보다 3, approximately 3.16

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Explanation:

To discover the square source of this decimal we transform it right into scientific notation.

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Because  has an even exponent, we have the right to divide the exponenet by 2 to acquire its square root. The square root of 36 is 6, for this reason the square source of 40 have to be a little an ext than 6, about 6.32. 

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Explanation:

Just like any other equation, isolate her variable. Start by multiplying both political parties by 

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:

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Now, this is the exact same as:

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You recognize that 

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 is 
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. You deserve to intelligently rewrite this problem as:

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, i beg your pardon is the same as:

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Explanation:

To discover the square root of this decimal we convert it right into scientific notation.

*

Because 

*
 has an also exponent, we have the right to divide the exponenet by 2 to obtain its square root. 
*
 is a perfect square, whose square source is 
*
.

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