Respuesta :

altavistard
First you need to reduce each square root.  In each case, find the largest perfect square factor under the radical.  

in the case of sqrt(20), that boils down to 4*5, so sqrt(20)=sqrt(4)*sqrt(5), or 2sqrt(5).

sqrt(80) = sqrt(16)*sqrt(5) = 4sqrt(5).

Final answer:  subtract 4 sqrt(5) from 2 sqrt(5).  Can you do this?
ankitprmr2

The required answer is 4.472.

We need to determine the value of the expression [tex]\sqrt{20}-\sqrt{80}[/tex].

Now, calculate the value of the square roots separately.

Therefore,

[tex]\begin{aligned}\sqrt{20}&=\sqrt{2 \times 2 \times 5}\\&=2\sqrt{5}\\&=2 \times 2.236\\&=4.472 \end{aligned}[/tex]

Now,

[tex]\begin{aligned}\sqrt{80}&=\sqrt{2 \times 2 \times 2 \times 2 \times 5}\\&=4\sqrt{5}\\&=4 \times 2.236\\&=8.944 \end{aligned}[/tex]

Thus, the value of the required expression is calculated below:

[tex]\begin{aligned}\sqrt{20}-\sqrt{80}&=4.472-8.944\\&=4.472 \end{aligned}[/tex]

Hence, the required answer is 4.472.

To know more about it, please refer to the link:

https://brainly.com/question/15034631

Otras preguntas