Simplify Radical Expression

MathematicsRadicalsEasy

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Math 2: Radicals Quiz

Simplify the following radicals. SHOW WORK!

1. $\sqrt{128}$

Animated Video Solution

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Step by Step Written Solution

1
Step 1

In this problem, we are asked to simplify the radical expression, the square root of one hundred and twenty-eight.

Simplifying Radicals

$$ \sqrt{128}$$
2
Step 2

To simplify a square root, we look for the largest perfect square factor of the number under the radical.


Strategy: Find the Largest Perfect Square Factor

3
Step 3

Let's test some perfect squares: sixty-four times two equals one hundred and twenty-eight. Since sixty-four is a perfect square, we can use this pair.

$$128 = 64 \times 2$$
4
Step 4

We can rewrite the radical as the square root of sixty-four times two.

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About This Question

Subject
Mathematics
Topic
Radicals
Difficulty
Easy
Question Type
Open Ended

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