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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
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Example
3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b
Question
$$\sqrt{ 45 }$$
Evaluate
$3\sqrt{5}\approx 6.708203932$
Solution Steps
Factor $45=3^{2}\times 5$. Rewrite the square root of the product $\sqrt{3^{2}\times 5}$ as the product of square roots $\sqrt{3^{2}}\sqrt{5}$. Take the square root of $3^{2}$.
$$3\sqrt{5}$$
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