Chapter 9: Q. 9.80 (page 1060)

Simplify: $\frac{1}{3} \sqrt{80} - \frac{1}{4} \sqrt{125}$

Short Answer

Expert verified

The solution is $\frac{1}{12} \sqrt{5} .$

Step by step solution

Step 1. Given information

Roots: $\frac{1}{3} \sqrt{80} - \frac{1}{4} \sqrt{125}$

Step 2. Calculation

We have,

$\frac{1}{3} \sqrt{80} - \frac{1}{4} \sqrt{125} = \frac{1}{3} \sqrt{16} \cdot \sqrt{5} - \frac{1}{4} \sqrt{25} \cdot \sqrt{5} = \frac{1}{3} \cdot 4 \cdot \sqrt{5} - \frac{1}{4} \cdot 5 \cdot \sqrt{5} = \frac{4}{3} \sqrt{5} - \frac{5}{4} \sqrt{5} = \frac{16}{12} \sqrt{5} - \frac{15}{12} \sqrt{5} = \frac{1}{12} \sqrt{5}$

Therefore, the solution is $\frac{1}{12} \sqrt{5} .$

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Simplify: $\frac{1}{3} \sqrt{80} - \frac{1}{4} \sqrt{125}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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Simplify:1380-14125

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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Most popular questions from this chapter

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Simplify: $\frac{1}{3} \sqrt{80} - \frac{1}{4} \sqrt{125}$