Video lessons with examples and solutions that will help students solve square root word problems.

How to solve applications using quadratic functions and square roots?

**Applications Using Square Roots**

This video demonstrates a sample application of square roots. You'll learn how to approximate the solutions of quadratic equations involving square roots. You'll also learn how to solve applications using quadratic functions and square roots.

Example:

Sri Rangaman's flower garden is now a square. If she enlarges it by increasing the width 1 meter and the length 3 meters, the area will be 19 square meters more than the present area. What is the length of a side now?
**How to solve word problems using quadratic functions and square roots?**

This video provides an explanation of the concept of applying square roots. You'll learn how to approximate the solutions of quadratic equations involving square roots. You'll also learn how to solve applications using quadratic functions and square roots.

Examples:

1. Solve the quadratics

a) (2x + 5)^{2} = 10

b) x^{2} - 2x + 1 = 5

2. Given the formula H_{F} = -16t^{2} + H_{I}. How long does it take a ball to fall from a roof to the ground 25 feet below?

**How to use the square root function in word problems?**

Examples:

1. The floor of a square room is covered with square-foot floor tiles. If 81 tiles cover the floor, how long is each side of the room?

2. Mr. Dase found a square digital image of a famous painting on a Web site. The image contained 490,000 pixels. How many pixels high is the image?
**Application Involving a Square Root**

A word problem that involves a formula that contains a square root.

Example:

A pool is twice as long as it is wide and is surrounded by a walkway of uniform width of 1 foot. The combined area of the pool and the walkway is 400 square feet. Find the dimensions of the pool and the area of the pool.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

This video demonstrates a sample application of square roots. You'll learn how to approximate the solutions of quadratic equations involving square roots. You'll also learn how to solve applications using quadratic functions and square roots.

Example:

Sri Rangaman's flower garden is now a square. If she enlarges it by increasing the width 1 meter and the length 3 meters, the area will be 19 square meters more than the present area. What is the length of a side now?

This video provides an explanation of the concept of applying square roots. You'll learn how to approximate the solutions of quadratic equations involving square roots. You'll also learn how to solve applications using quadratic functions and square roots.

Examples:

1. Solve the quadratics

a) (2x + 5)

b) x

2. Given the formula H

Examples:

1. The floor of a square room is covered with square-foot floor tiles. If 81 tiles cover the floor, how long is each side of the room?

2. Mr. Dase found a square digital image of a famous painting on a Web site. The image contained 490,000 pixels. How many pixels high is the image?

A word problem that involves a formula that contains a square root.

Example:

A pool is twice as long as it is wide and is surrounded by a walkway of uniform width of 1 foot. The combined area of the pool and the walkway is 400 square feet. Find the dimensions of the pool and the area of the pool.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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