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946
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avatar+1314 

What is $$$\sqrt2 \cdot \sqrt6 \cdot \sqrt{110} \cdot \sqrt{165}$$$ ??

 

 Jun 19, 2015

Best Answer 

 #2
avatar+129852 
+8

√2*√6 *√110 *√165  =

 

√12 *√[11*5*2]* √ [11*5*3] =

 

√[4*3] *√[11*11] *√[5*5] * √[3*2] =

 

2√3 * 11 * 5 * √[3 *2]  =

 

2√[3*3] * 11 * 5 *√2   =

2* 3 * 11 * 5* √2 =      6 * 55 * √2 =   330√2

 

 

Hang in there, AWESOMEEE ......you'll probably survive.......!!!!!

 

 

 

 Jun 19, 2015
 #1
avatar+427 
+8

If you just want the numerical value for it:

467.69 (Rounded to 2 d.p.)

 

If you wanted it as a single surd:

x^2 = 2 * 6 * 110 * 165 = 217800

thus: x = Sqrt(217800)

= 2 * Sqrt(54450)

= 2*5 * Sqrt(2178)

= 10*3 * Sqrt(242)

= 30*11 * Sqrt(2)

= 330 * Sqrt(2)

 Jun 19, 2015
 #2
avatar+129852 
+8
Best Answer

√2*√6 *√110 *√165  =

 

√12 *√[11*5*2]* √ [11*5*3] =

 

√[4*3] *√[11*11] *√[5*5] * √[3*2] =

 

2√3 * 11 * 5 * √[3 *2]  =

 

2√[3*3] * 11 * 5 *√2   =

2* 3 * 11 * 5* √2 =      6 * 55 * √2 =   330√2

 

 

Hang in there, AWESOMEEE ......you'll probably survive.......!!!!!

 

 

 

CPhill Jun 19, 2015

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