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Basic Math
Arithmetic
Fractions & Decimals
Ratios & Proportions
Percentages
Basic Number Theory
Pre-Algebra
Integers & Absolute Values
Factors & Multiples
Prime Factorization
Basic Equations & Inequalities
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Algebra
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Quadratic Equations
Polynomials & Factoring
Functions & Graphs
Systems of Equations
Trigonometry
Trigonometric Functions
Trigonometric Identities & Equations
Right Triangle Trigonometry
Unit Circle
Graphing Trigonometric Functions
Calculus
Limits & Continuity
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Example
3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b
Question
$$\sqrt { 75 }$$
Evaluate
$5\sqrt{3}\approx 8.660254038$
Solution Steps
Factor $75=5^{2}\times 3$. Rewrite the square root of the product $\sqrt{5^{2}\times 3}$ as the product of square roots $\sqrt{5^{2}}\sqrt{3}$. Take the square root of $5^{2}$.
$$5\sqrt{3}$$
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