+0

# Square root question ?

+2
158
4
+6

what is the exact square root of 37.6765?

happygal  Aug 24, 2017
Sort:

#1
+1602
+1

$$\sqrt{37.6765}\approx 6.1381186042630359$$

Unfortunately, I cannot give you all the decimal places for this answer as it is irrational; any radicand that is not a perfect square yields an irrational result.

TheXSquaredFactor  Aug 24, 2017
#3
+1794
0

happygal wants the exact answer, not a decimal answer.  If you look at my answer, you will see an exact answer in fraction form.

gibsonj338  Aug 24, 2017
#4
+1602
0

Ok, I understand. I'll leave the answer up just in case this user needs the decimal approximation.

TheXSquaredFactor  Aug 24, 2017
#2
+1794
0

$$\sqrt{37.6765}$$

$$\sqrt{37\frac{6765}{10000}}$$

$$\sqrt{\frac{376765}{10000}}$$

$$\sqrt{\frac{75353}{2000}}$$

$$\frac{\sqrt{75353}}{\sqrt{2000}}$$

$$\frac{\sqrt{75353}}{\sqrt{400}\sqrt{5}}$$

$$\frac{\sqrt{75353}}{20\sqrt{5}}$$

$$\frac{\sqrt{75353}}{20\sqrt{5}}\times\frac{\sqrt{5}}{\sqrt{5}}$$

$$\frac{\sqrt{75353}\sqrt{5}}{20\sqrt{5}\sqrt{5}}$$

$$\frac{\sqrt{376765}}{20\sqrt{5}\sqrt{5}}$$

$$\frac{\sqrt{376765}}{20\sqrt{25}}$$

$$\frac{\sqrt{376765}}{20\times5}$$

$$\frac{\sqrt{376765}}{100}$$

gibsonj338  Aug 24, 2017

### 8 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details