Solve 3000(sqrt(3)-1)sqrt(3) | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$3000( \sqrt{ 3 } -1) \sqrt{ 3 }$$

Evaluate

$9000-3000\sqrt{3}\approx 3803.847577293$

Solution Steps

Use the distributive property to multiply $3000$ by $\sqrt{3}-1$.

$$\left(3000\sqrt{3}-3000\right)\sqrt{3}$$

Use the distributive property to multiply $3000\sqrt{3}-3000$ by $\sqrt{3}$.

$$3000\left(\sqrt{3}\right)^{2}-3000\sqrt{3}$$

The square of $\sqrt{3}$ is $3$.

$$3000\times 3-3000\sqrt{3}$$

Multiply $3000$ and $3$ to get $9000$.

$$9000-3000\sqrt{3}$$