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Basic Math
Arithmetic
Fractions & Decimals
Ratios & Proportions
Percentages
Basic Number Theory
Pre-Algebra
Integers & Absolute Values
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Prime Factorization
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Polynomials & Factoring
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Systems of Equations
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Trigonometric Functions
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Calculus
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Example
3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b
Question
$$- \sqrt{ 200 }$$
Evaluate
$-10\sqrt{2}\approx -14.142135624$
Solution Steps
Factor $200=10^{2}\times 2$. Rewrite the square root of the product $\sqrt{10^{2}\times 2}$ as the product of square roots $\sqrt{10^{2}}\sqrt{2}$. Take the square root of $10^{2}$.
$$-10\sqrt{2}$$
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