Simplifying Radicals Without Variables Lesson Slides

4 Slides • 6 Questions

1

Simplifying Radicals

Solving by taking Square Roots

2

Multiple Choice

Which of the following is a perfect square?

1

$\sqrt{8}$

2

$\sqrt{49}$

3

$\sqrt{18}$

4

$\sqrt{125}$

3

To Simplify a Square Root is the process of evaluating the perfect squares that are factors.

For example:

\sqrt{8}=\sqrt{4}\times\sqrt{2}

\sqrt{8}=2\sqrt{2}

4

Multiple Choice

Simplifying a Square Root:

\sqrt{perfect\ square}\times\sqrt{non\ perfect\ square}

example:\ \ \sqrt{45}

1

$9\sqrt{5}$

2

$5\sqrt{9}$

3

$3\sqrt{5}$

4

$5\sqrt{3}$

5

Multiple Choice

$Simplify:\ \ \sqrt{20}$

1

$2\sqrt{10}$

2

$4\sqrt{5}$

3

$10\sqrt{2}$

4

$2\sqrt{5}$

6

Solving Quadratics by taking Square Roots:

Solve (there will be two solutions):
$\left(x+3\right)^2=100$

7

$\left(x+6\right)^2=45$

Answer should be in simplified radical form.

8

Multiple Select

$Solve:\ \left(x-8\right)^2=28$
Next steps:

1

Square both sides

2

Take the square root of both sides

9

Multiple Select

$\sqrt{\left(x-8\right)^2}=\sqrt{28}$

1

$x^2-64=14$

2

$x-8=\pm\sqrt{28}$

10

Multiple Select

$x-8=\pm\sqrt{28}$

1

$x=8\pm4\sqrt{7}$

2

$x=8\pm7\sqrt{2}$

3

$x=8\pm2\sqrt{7}$

4

$x=-8\pm2\sqrt{7}$

Simplifying Radicals

Solving by taking Square Roots

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