How to Find Double Square Roots

Square roots are a commonly found in algebraic expressions.
••• Hemera Technologies/ Images

In algebra, you will receive your first introduction to double square roots. Although such problems might look complicated, questions involving double square roots are just intended to test your understanding of the properties of square roots. Therefore, assuming you have such an understanding, these questions should be quite simple and fun.

    Resolve the first square root, or the square root within the square root. If the problem is sqrt(sqrt(49)), resolving the first square root allows us to simplify the expression to sqrt(7). If the problem is sqrt(sqrt(42-6)), then resolving the first square root gives us sqrt(sqrt(36)), or sqrt(6).

    Resolve the second square root. In each of our examples, you will need to use a calculator to find the value of sqrt(7) or sqrt(6): both are fractional.

    Square the value that you compute in Step 2 twice. After you square the value twice, you should obtain the value within the first square root.

Related Articles

How to Find the Roots of a Quadratic
How to Solve Double Inequalities
How to Find the Area of a Shaded Part of a Square With...
How to Find the Radius of a Semi Circle
How to Find the Area of a Circle Using Radius
How to Determine If Matrices Are Singular or Nonsingular
How to Calculate Correlation
How to Determine the Bin Width for a Histogram
How to Figure the Diameter of a Circle
How to Solve Algebraic Equations With Double Exponents
How to Solve 3-Variable Linear Equations on a TI-84
How to Find the Area of a Rectangular Prism
How to Convert Slope Intercept Form to Standard Form
How to Multiply Fractional Exponents
How to Calculate the Radius From the Circumference
How to Simplify Exponents
How to Calculate the Perimeter of Combined Shapes and...
How do I Calculate the Geometric Mean on an HP 12C?
How to Do Exponents Outside of the Parenthesis
How to Measure the Length of the Diagonal Line of a...

Dont Go!

We Have More Great Sciencing Articles!