Solve sqrt(5) * (sqrt(5) + 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

$$\sqrt{5}\cdot(\sqrt{5}+\sqrt{3})$$

Evaluate

$\sqrt{15}+5\approx 8.872983346$

Solution Steps

Use the distributive property to multiply $\sqrt{5}$ by $\sqrt{5}+\sqrt{3}$.

$$\left(\sqrt{5}\right)^{2}+\sqrt{5}\sqrt{3}$$

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

$$5+\sqrt{5}\sqrt{3}$$

To multiply $\sqrt{5}$ and $\sqrt{3}$, multiply the numbers under the square root.

$$5+\sqrt{15}$$