How do you change 0.16666 in a fraction

1 answer:

3 0

Let x=0.166666...-----------(1equation) Multiplying by 10 in both sides 10x=1.66666...-------------(2equation) Multiplying by 10 in both sides 100x=16.6666...----------(3equation) Subtracting 2equation from 3equation 100x-10x=16.666..-1.666.. 90x=15 x=15/90 0.16666....=15/90

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Simplify square root of ten times square root of eight.

Romashka-Z-Leto [24]

<h2>Explanation:</h2><h2></h2>

Here we need to simplify the square root of ten times square root of eight, so let's write this step by step:

Step 1. The square root of ten

$\sqrt{10}$

Step 2. The square root of eight

$\sqrt{8}$

Step 3. The square root of ten times square root of eight

$\sqrt{10}\times \sqrt{8} \\ \\ \\ \text{From radical property:} \\ \\ \sqrt{a}\times \sqrt{b}=\sqrt{ab} \\ \\ \\ So: \\ \\ \sqrt{10}\times \sqrt{8}=\sqrt{80} \\ \\ \\ But: \\ \\ \sqrt{80}=\sqrt{16\time5}=\sqrt{16}\sqrt{5}=4\sqrt{5}$