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Name Date 2.1 HW Find Square Roots and Compare Real Numbers Write the number as a power. 1. 36 2. 100 3. 9 Evaluate the expression. 4.497.815. 48. 1216. 259. 16Approximate the square root to the nearest
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How to fill out exponents and square roots

01
To fill out exponents, follow these steps:
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Identify the base number, which is the number being multiplied by itself multiple times.
03
Determine the exponent, which is the number that indicates how many times the base number is multiplied by itself.
04
Multiply the base number by itself as many times as the exponent value. For example, if the base number is 2 and the exponent is 3, you would calculate 2 x 2 x 2 = 8.
05
Write the result of the calculation as the exponent of the base number. For the example above, the result would be 8, so the exponent of 2 is 8.
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To fill out square roots, follow these steps:
08
Identify the number under the square root sign, also known as the radicand.
09
Decompose the radicand into its prime factors.
10
Pair the prime factors in groups of two, starting from the largest prime factor.
11
Take one factor from each pair and write them outside the square root sign as multipliers, and the other factor inside the square root sign.
12
If there is any remaining unpaired prime factor, write it inside the square root sign.
13
Simplify the expressions both inside and outside the square root sign, if possible, to get the final result.

Who needs exponents and square roots?

01
Exponents and square roots are fundamental concepts in mathematics and are needed by various individuals, including:
02
- Students studying algebra, geometry, calculus, or any branch of mathematics that involves solving equations, simplifying expressions, or working with complex numbers.
03
- Scientists and engineers who need to perform calculations involving magnitude, powers, growth rates, or mathematical modeling.
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- Financial analysts who work with compound interest, investment growth, or statistical analysis.
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- Architects and designers who use scaling, proportion, or measurements in their work.
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- Anyone who wants to understand and apply mathematical principles in their daily lives.
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Exponents are used to represent repeated multiplication of a number by itself. Square roots are the inverse operation of squaring a number, finding the number that when multiplied by itself gives the original number.
Anyone dealing with mathematical calculations or solving problems involving exponents and square roots may need to file them.
Exponents and square roots can be filled out by performing the necessary calculations based on the given numbers or equations.
Exponents and square roots are used in various mathematical applications to simplify complex expressions, solve equations, and represent relationships between numbers.
The numbers involved, the operations performed, and the resulting values after evaluating the exponents and square roots.
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