Applications of Radicals Part 1

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Mathematics

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8th - 9th Grade

•

Medium

Ahlmin Monsales

Used 39+ times

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18 Slides • 13 Questions

Applications of Radicals Part 1

PREREQUISITE SKILLS

A. Operations on Radicals

Multiple Choice

Fill in the Blanks

Type answer...

Multiple Choice

Simplify.

\frac{4\sqrt{8x^5}}{2\sqrt{2x^2}}

$2x\sqrt{4x}$

$2\sqrt{4x^3}$

$4x\sqrt{x}$

$4\sqrt{x^3}$

Solving Linear Equations in One Variable

Fill in the Blanks

Type answer...

Multiple Choice

$x^2+4x+4=0$

$x=2$

$x=-2$

$x=-2.\ 2$

$x=4$

Fill in the Blanks

Type answer...

Math tip!

In solving radical equations, remember to always CHECK your answer. You may have solve it correctly, but you will only determine whether your answer is a solution when checked.

A ten-foot ladder is leaning against a wall. How far is the bottom of the ladder from the wall when the ladder reaches a height of 8 feet?

(Example 2) Try to answer this!

Math concepts that can be applied in solving the previous problem:

Pythagorean Theorem
Square Root Property
Addition Property of Equality
Solving Radical Equations

Let's Practice!

Solving radical equations.

Fill in the Blanks

Type answer...

Multiple Choice

Solve and simplify.

x\sqrt{3}=9

$\sqrt{27}$

$3\sqrt{3}$

$12$

$9\sqrt{3}$

Fill in the Blanks

Type answer...

Activity 1: Solve Me Right

Write your solution in a sheet of paper/online, attach to the assignment tab after.

Multiple Choice

The sides of a square are each 11 feet long. Find the length of the diagonal.

$10\sqrt{2}\ ft$

$11\sqrt{2}\ ft$

$22\ ft$

$\sqrt{11}\ ft$

Multiple Choice

A wall is 7 meters high. A boy stands 3 meters away from the base of the wall. How far is the top of the wall from the feet of the boy?

$21\ m$

$\sqrt{21}m\$

$7\sqrt{3}\ m$

$\sqrt{58}\ m$

Multiple Choice

The legs of a right triangle are congruent, and the hypotenuse is

7\sqrt{3}

feet long. Find the length of each leg.

$49\sqrt{3}\ ft$

$\frac{7\sqrt{6}}{2}ft$

$147\ cm$

$\frac{49\sqrt{3}}{2}ft$

Multiple Choice

The algebraic expression $\sqrt{\frac{h}{4}}$ represents the time, in seconds, that it takes an object to hit the ground if it is thrown at a height h, in meters. Determine how long it will take a mango dropped from a tree 8 meters tall to hit the ground.

$\sqrt{2}\ m$

$\sqrt{8}\ m$

$2\sqrt{2}m$

can't be determined

Don't forget to attach your solution in the assignment!

Study in Advance: Learning Module 29 pp. 6-8.

Applications of Radicals Part 1

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