Solve 10/(sqrt(5)) - 2sqrt(5) | 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

$$\frac{10}{\sqrt{5}}-2\sqrt{5}$$

Evaluate

$0$

Solution Steps

Rationalize the denominator of $\frac{10}{\sqrt{5}}$ by multiplying numerator and denominator by $\sqrt{5}$.

$$\frac{10\sqrt{5}}{\left(\sqrt{5}\right)^{2}}-2\sqrt{5}$$

The square of $\sqrt{5}$ is $5$.

$$\frac{10\sqrt{5}}{5}-2\sqrt{5}$$

Divide $10\sqrt{5}$ by $5$ to get $2\sqrt{5}$.

$$2\sqrt{5}-2\sqrt{5}$$

Combine $2\sqrt{5}$ and $-2\sqrt{5}$ to get $0$.

$$0$$

Factor

$0$