Show if √5×√5×√8 is rational or irrational numbers

Mathematics

2 answers:

kobusy [5.1K]1 year ago

8 0

√5 x√5 x√8= √(5x5x8) = √200 = 10 √2
It’s an irrational number

Mekhanik [1.2K]1 year ago

8 0

Answer:

Irrational number

Step-by-step explanation:

<h3>Rational and irrational number:</h3>

Prime factorize the number and then simplify.

$\sf \sqrt{5}*\sqrt{5}*\sqrt{8}=\sqrt{5*5*8}$

$\sf = \sqrt{5*5*2*2*2}\\\ = 5* 2* \sqrt{2}\\\\= 10\sqrt{2}$ is an irrational number.

You might be interested in

Anyone help please I need it

andreev551 [17]

Answer:

$-10+i\sqrt{2}$

Step-by-step explanation:

One is given the following expression:

$\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}$

In order to simplify and solve this problem, one must keep the following points in mind: the square root function ( $\sqrt{}$ ) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: ( $\sqrt{-1}=i$ ). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.