Solve JTT 18 (11 ) PAGE NO. DATE | 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

$$( \sqrt { 11 } - 18 ) ( 11 + \sqrt { 8 } )$$

Evaluate

$2\sqrt{22}+11\sqrt{11}-36\sqrt{2}-198\approx -203.047984032$

Solution Steps

Factor $8=2^{2}\times 2$. Rewrite the square root of the product $\sqrt{2^{2}\times 2}$ as the product of square roots $\sqrt{2^{2}}\sqrt{2}$. Take the square root of $2^{2}$.

$$\left(\sqrt{11}-18\right)\left(11+2\sqrt{2}\right)$$

Apply the distributive property by multiplying each term of $\sqrt{11}-18$ by each term of $11+2\sqrt{2}$.

$$11\sqrt{11}+2\sqrt{11}\sqrt{2}-198-36\sqrt{2}$$

To multiply $\sqrt{11}$ and $\sqrt{2}$, multiply the numbers under the square root.

$$11\sqrt{11}+2\sqrt{22}-198-36\sqrt{2}$$