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# решить подробно

0
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(2√5*√3)^2 +( 1*2√15)^2

Jan 5, 2020

#1
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

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

.
Jan 5, 2020
#2
+1035
0

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

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

Solve from here.

You are very welcome!

:P

Jan 5, 2020