Example Questions

Example Question #73 : Basic Squaring / Square Roots

Simplify:       Explanation:

To simplify square roots, we need to factor out perfect squares. In this case, it's . Example Question #74 : Basic Squaring / Square Roots

Simplify:       Explanation:

To simplify the radical, we should factor out perfect squares. Example Question #75 : Basic Squaring / Square Roots

Simplify:       Explanation:

To simplify the square roots, we need to factor out the perfect squares. Example Question #76 : Basic Squaring / Square Roots

Simplify:       Explanation:

To simplify the square roots, we need to factor out perfect squares. We can combine to have two different bases. Remember . Example Question #77 : Basic Squaring / Square Roots

Simplify:       Explanation:

To simplify the square root, we need to determine the value of the exponent and then simplify the radical. Now let's find perfect squares. Example Question #78 : Basic Squaring / Square Roots

Simplify:       Explanation:

To simplify the square root, we need to determine the value of the exponent and then simplify the radical. Now let's find perfect squares. Example Question #79 : Basic Squaring / Square Roots

Simplify:       Explanation:

To simplify the radical, we need to find perfect squares. Then if possible, we can reduc the fraction.  Example Question #80 : Basic Squaring / Square Roots

Simplify:       Explanation:

To simplify the radical, let's deal with the parentheses first and apply the exponents. Reduce if necessary.  Example Question #81 : Basic Squaring / Square Roots

Simplify:       Explanation:

To eliminate a radical expression, we need to multiply top and bottom by the conjugate which is opposite the sign in the expression. Then simplify if necessary. Example Question #82 : Basic Squaring / Square Roots

Simplify:       Explanation:

To simplify square roots, we need to find perfect squares to factor out. We can also simplify Thus, We can compute the numbers outside to get a final answer of . 