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(2√5*√3)^2 +( 1*2√15)^2

 Jan 5, 2020
 #1
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0

(2sqrt(5)*sqrt(3))^2+(1*2sqrt(15))^2 = 120

Using this website calculator.

 

another method: 

\(2\sqrt{5}=2*5^\frac{1}{2}\)

\(\sqrt{3}=3^\frac{1}{2}\)

So the first bracket can be written as:

\((2*5^\frac{1}{2}*3^\frac{1}{2})^2\)

Now using laws of exponentials, multiply each number by the exponent which is 2 so:

\(4*5*3\)=60 

 

So the first term is 60 (I.e. first bracket) 

Second bracket:

\((1*2\sqrt{15})^2=(1*2*15^\frac{1}{2})^2\)

same,

\(1*4*15\)=60

 

Add both,

\((4*5*3)+(1*4*15)=60+60=120\)

.
 Jan 5, 2020
 #2
avatar+1076 
-1

\((2\sqrt5 \times \sqrt3)^2 + (1 \times 2\sqrt{15})^2\)

\((2\sqrt{15})^2+(2\sqrt{15})^2\)

Solve from here.

 

You are very welcome!

:P

 Jan 5, 2020

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