Solve sqrt((41 * 441)/(441 * 441)) | 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

$$\sqrt{\frac{41\times441}{441\times441}}$$

Evaluate

$\frac{\sqrt{41}}{21}\approx 0.304910678$

Solution Steps

Cancel out $441$ in both numerator and denominator.

$$\sqrt{\frac{41}{441}}$$

Rewrite the square root of the division $\sqrt{\frac{41}{441}}$ as the division of square roots $\frac{\sqrt{41}}{\sqrt{441}}$.

$$\frac{\sqrt{41}}{\sqrt{441}}$$

Calculate the square root of $441$ and get $21$.

$$\frac{\sqrt{41}}{21}$$