+0  
 
0
348
2
avatar+46 

Simplify √27 * √50 ∕ √54

iddaniella  Jun 4, 2017
 #1
avatar+555 
+2

\(\frac{\sqrt{27}\times\sqrt{50}}{\sqrt{54}}\)

 

Write the numbers as products of primes.

 

\(=\frac{\sqrt{3\times3\times3}\times\sqrt{2\times5\times5}}{\sqrt{2\times3\times3\times3}}\)

 

The 2 and 3s on the top and bottom cancel out.

 

\(=\sqrt{5\times5}\)

\(=5\)

Will85237  Jun 4, 2017
 #2
avatar+7023 
+1

\(\dfrac{\sqrt{27}\cdot\sqrt{50}}{\sqrt{54}}\\ =\dfrac{\sqrt{3^2\cdot 3}\cdot \sqrt{5^2\cdot 2}}{\sqrt{3^2\cdot 3\cdot 2}}\\ =\dfrac{\sqrt{3^2}\cdot \sqrt3 \cdot\sqrt{5^2}\cdot \sqrt2}{\sqrt{3^2}\cdot\sqrt{3}\cdot \sqrt{2}}\\ =\dfrac{3\cdot 5\cdot\sqrt3 \cdot \sqrt2}{3\cdot\sqrt3\cdot\sqrt2}\\ =5 \)

MaxWong  Jun 4, 2017

29 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.