Multiplying radicals with variables

Presentation

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Mathematics

•

10th - 11th Grade

•

Practice Problem

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Medium

Yessenia Rivera

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7 Slides • 10 Questions

Multiplying radicals with variables

By Yessenia Rivera

Reminder: How to simplify a radical

Multiplying Radicals

When multiplying radicals with the same variables follow the following steps:
Step 1: Multiply the same variables together. *Remember when you multiply the same variables you add the exponents
Step 2: Simplify if possible

Some text here about the topic of discussion

Multiple Choice

Multiply and simplify if possible:

$\sqrt[]{x^2}\cdot\sqrt[]{x^8}$

$x^5$

$x^3\sqrt[]{x}$

$x^{10}$

$x^4$

Multiple Choice

Multiply and simplify if possible:

$\sqrt[]{x^4}\cdot\sqrt[]{x^5}$

$\sqrt[]{x^{20}}$

$\sqrt[]{x}$

$x^9$

$x^4\sqrt[]{x}$

Multiple Choice

Multiply and simplify if possible:

$\sqrt[]{x^8}\cdot\sqrt[]{x^5}$

$x^4$

$x^6\sqrt[]{x}$

$\sqrt[]{x^{40}}$

$\sqrt[]{x^3}$

Multiplying radicals with multiple variables inside

When multiplying radicals with multiple variables follow the following steps:
Step 1: Multiply the same variables together (x with x, y with y, etc). *Remember when you multiply the same variables you add the exponents
Step 2: Simplify if possible

Some text here about the topic of discussion

Example

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

Multiply and simplify if possible:

$\sqrt[]{x^4y^2}\cdot\sqrt[]{x^7y^5}$

$x^3y\sqrt[]{xy}$

$x^{11}y^7$

$x^5y^3\sqrt[]{xy}$

$x^3y^2$

Multiple Choice

Multiply and simplify if possible:

$\sqrt[]{x^8y^2}\cdot\sqrt[]{x^6y^8}$

$x^{14}y^{10}$

$x^7y^5$

$x^7y^5\sqrt[]{xy}$

$x^{14}y^{10}\sqrt[]{y}$

Multiple Choice

Multiply and simplify if possible:

$\sqrt[]{xy^3z^8}\cdot\sqrt[]{x^7y^4z}$

$x^4y^3z^4\sqrt[]{yz}$

$x^8y^7z^9$

$x^6y^3\sqrt[]{xyz}$

$xyz^{24}$

Multiplying Radicals

Some text here about the topic of discussion

Multiply numbers together

Multiply variables together

Check if you can simplify

Simplify

Multiple Choice

Multiply and simplify if possible:

$\sqrt[]{4x^2}\cdot\sqrt[]{6x^6}$

$\sqrt[]{10x^{10}}$

$2x^4\sqrt[]{6}$

$24x^8$

$x^4\sqrt[]{2}$

Multiple Choice

Multiply and simplify if possible:

$\sqrt[]{5x^{ }}\cdot\sqrt[]{10x^5}$

$\sqrt[]{15x^6}$

$\sqrt[]{5x^4}$

$5x^6\sqrt[]{2}$

$5x^3\sqrt[]{2}$

Multiple Choice

Multiply and simplify if possible:

$\sqrt[]{4x^7}\cdot\sqrt[]{6x^2}$

$4x^3\sqrt[]{5x^2}$

$2x^4\sqrt[]{6x}$

$6\sqrt[]{4x^9}$

$2x\sqrt[]{6}$

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Multiplying radicals with variables

By Yessenia Rivera

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