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dimulka [17.4K]
3 years ago
11

Is √2 a rational number?

Mathematics
2 answers:
Strike441 [17]3 years ago
8 0

Answer: No. Square roots of most integers are irrational. Only squares (or other even exponents) of rational numbers are rational.

Step-by-step explanation:

√2 ≈ 1.414213562. . . a good equivalent, but it goes on without a repeated sequence.

It can't be expressed as a whole number or a fraction, so it is irrational.

umka21 [38]3 years ago
7 0

Answer:

No it is not a rational number it doesn't equal to nothing so it is  an irrational number just like pi,^3,^5,^7...........  Hope this help :)

Step-by-step explanation:

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Which statement about rational numbers is true?​
Misha Larkins [42]

Answer:

D: All fractions containing integers are rational numbers.

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3 years ago
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What is the answer to this math equation(x+5)(x²-3x)​
Nikolay [14]

Answer:

x=-5\\x=0\\x=3

Step-by-step explanation:

I assume your equation to solve is

(x+5)(x^2-3x)=0

When we have a product of two factors equal to zero,

A\cdot B = 0

The solution is either A = 0 or B = 0.

In this case, this means that we can break the equation into two equations:

x+5=0\\x^2-3x=0

Solving the first one, we get:

x+5=0 \rightarrow x = -5

For the second one, we rewrite it as:

x^2-3x=0\\x(x-3)=0

And we see that this equation has two solutions:

x=0\\x=3

Therefore, the three solutions are:

x=-5\\x=0\\x=3

8 0
4 years ago
Chris pays a fee if the bank balance falls below $10 on the statement dae. Prior to the statement date her balance was -3.46. Th
Zina [86]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Balance prior to statement date = - 3.46

Minimum bank balance to avoid penalty = $10

The amount of deposit, d made in time in other to avoid penalty fee?

Minimum amount that most have been deposited, d :

Balance prior to statement + d ≥ minimum bank balance to avoid penalty

-3.46 + d ≥ 10

d ≥ 10 + 3.46

d ≥ 13.46

Hence, the minimum amount that must have been deposited to avoid penalty is 13.46

4 0
3 years ago
PLEASE HELP ME SOLVE THIS QUESTION ASAPPPPPPPPPPP
AveGali [126]

Answer:

Step-by-step explanation:

Volume of the pyramid :

V=\dfrac{x^2*h}{3} =554.9\\\\x^2*h=554.9*3\\\\h=15.1\\\\x^2*15.1=554.9*3\\\\x^2=\dfrac{554.9*3}{15.1} \\\\x=\sqrt{\dfrac{1664,7}{15.1} } \\\\x=\sqrt{110,24503311258278145695364238411...} \\\\x=10,499763478887644993681148554978...\approx{10.50}

8 0
3 years ago
Prove that sinxtanx=1/cosx - cosx
maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}

Taking the RHS, note

\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}

Remember that

\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)

Therefore,

\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}

Once

\dfrac{\sin(x)}{\cos(x)} = \tan(x)

Then,

\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)

Hence, it is proved

5 0
3 years ago
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