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aksik [14]
3 years ago
11

Is the square root of 5 rational or irrational?

Mathematics
2 answers:
Anastasy [175]3 years ago
6 0

The answer would be: \sqrt{5} is an irrational number. Why?


Because the definition of an irrational number is that: It's a number that can not be expressed as a fraction, or as a whole number.


And you can not make \sqrt{5} a fraction.


So that's why it's an irrational number.


Hope this helped :)

Delvig [45]3 years ago
4 0

The square root of 5,


\sqrt 5


is irrational. Of the natural numbers, only the perfect squares 1,4,9,16,25,... have rational square roots.


If a natural number has a rational square root that square root must necessarily be a natural number. Can you see why?



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Answer:

The volume of each cube  = (side)^3  = (1/3)^3  = 1/27 cubic units

The number of cubes  that will fill the prism  =

Vol of prism            4

__________  =    _____  =    4 * 27   =   108 cubes

Vol of cube            (1/27)

Step-by-step explanation:

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3 years ago
Rick says to find 2x5, he can use counting by 5s: 5,10,15,20,25. Explain what he did wrong.
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4 years ago
Write two expressions where the solution is 41.
Reika [66]
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4 0
3 years ago
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the half-life of strontium-90 is approximately 29 years. how much of a 500 g sample of strontium-90 will remain after 58 years​
Yuliya22 [10]

Answer:  125 g

<u>Step-by-step explanation:</u>

A = P_o\cdot e^{kt}\\\\\text{First, use the given information to find k:}\\\\\bullet A=\dfrac{1}{2}P_o\\\\\bullet k = unknown\\\\\bullet t=29\text{ years}\\\\\dfrac{1}{2}P_o=P_o\cdot e^{k(29)}\\\\\\\dfrac{1}{2}=e^{k(29)}\qquad divided\ both\ sides\ by\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=ln\bigg(e^{k(29)}\bigg)\qquad applied\ ln\ to\ both\ sides\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=29k\qquad simplified-ln\ and\ e\ cancel\ out\\\\\\\dfrac{ln\bigg(\dfrac{1}{2}\bigg)}{29}=k\qquad divided\ 29\ from\ both\ sides\\\\\\-0.0239=k

\text{Now, use the following in the equation to solve for A:}\\\\\bullet A=unknown\\\bullet P_o=500\\\bullet k=-0.0239\\\bullet t=58\text{ years}\\\\A=500\cdot e^{(-0.0239)(58)}\\\\.\quad=500\cdot e^{-1.386}\\\\.\quad=125

8 0
4 years ago
If i travel 100 miles in 4 hours what is that unit rate
lutik1710 [3]
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y = 25x
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4 0
3 years ago
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