Calculating Square Roots by Hand Overview

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Calculating Square Roots by Hand Overview
https://youtu.be/0Xzf-wezN4E

In this video I recap on the steps of calculating square roots by hand and go over steps involved in calculating the square root of 512.3 (which I calculated in my example 3 video).

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# Calculating Square Roots by Hand

![Calculating Square Roots by Hand Overview.jpeg](https://files.peakd.com/file/peakd-hive/mes/hON8xlx9-Calculating20Square20Roots20by20Hand20Overview.jpeg)

## Step by Step Overview

Earlier Videos I did these Examples:

![image.png](https://files.peakd.com/file/peakd-hive/mes/EdJCjIRa-image.png)

### Step by Step Method:

**Step 1: Write digits in pairs.**

![image.png](https://files.peakd.com/file/peakd-hive/mes/UTkXZaGG-image.png)

**Step 2: Start from first pair from the left: Find largest number when squared is less than pair. This is the first digit of the answer.**

![image.png](https://files.peakd.com/file/peakd-hive/mes/YBy8GTTv-image.png)

**Step 3: Multiply the first digit of answer by 2.**

![image.png](https://files.peakd.com/file/peakd-hive/mes/7IFiAszw-image.png)

**Step 4: Subtract the number from step 3 from the first pair.**

![image.png](https://files.peakd.com/file/peakd-hive/mes/8mUJMyDz-image.png)

**Step 5: Bring the next pair down alongside the remainder**

![image.png](https://files.peakd.com/file/peakd-hive/mes/85qqcX40-image.png)

**Step 6: Now find a number such that when it is multiplied by a number composed of the number from step 3 and itself is the largest number less than the number from step 5.**

![image.png](https://files.peakd.com/file/peakd-hive/mes/xulShE1Z-image.png)

**Step 7: Subtract 84 from 112 and bring down next pair.**

![image.png](https://files.peakd.com/file/peakd-hive/mes/5bzoeF6C-image.png)

**Step 8: Multiply the current answer by 2 and repeat above steps forever.**

![image.png](https://files.peakd.com/file/peakd-hive/mes/apvtoaz5-image.png)
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