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nydimaria [60]
3 years ago
15

Is the square root of two irrational?

Mathematics
2 answers:
AveGali [126]3 years ago
8 0

Answer:

yes

Step-by-step explanation:

If the square root of 1 is 1, and the square root of 4 is 2, the square root of 2 is between 1 and 2, and it cannot be a rational number, so it is an irrational number

swat323 years ago
3 0

Answer:

Step-by-step explanation:

The square root of two can not be irrational

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Find the sum of these polynomials (x^2-x+8) + (10x^2+7)
konstantin123 [22]

Answer:

Step-by-step explanation:

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3 years ago
What is the slope of the line?
tamaranim1 [39]

Answer:

-1/2.

Change in y above change in x (don't mix that up)

The first coordinate is 3,-2 the second is 2,-4.

The change is x was -1 . (2-3)

The change in y was 2. (-4-(-2))

7 0
3 years ago
Expand 5a(3a-2b). Thank you!
Thepotemich [5.8K]

Answer:

15 a^2 + -10 a b

Step-by-step explanation:

Expand the following:

5 a (-2 b + 3 a)

Hint: | Distribute 5 a over -2 b + 3 a.

5 a (-2 b + 3 a) = 5 a (-2 b) + 5 a (3 a):

-2 5 a b + 5 3 a a

Hint: | Combine products of like terms.

5 a×3 a = 5 a^2×3:

5×3 a^2 - 2×5 a b

Hint: | Multiply 5 and 3 together.

5×3 = 15:

15 a^2 - 2×5 a b

Hint: | Multiply 5 and -2 together.

5 (-2) = -10:

Answer: 15 a^2 + -10 a b

6 0
4 years ago
Read 2 more answers
Two trucks were driven on a 1,680 kilometer (km) trip. the first truck averaged 14 km per liter of fuel for the trip, and the se
kiruha [24]
 for the first truck  1680  / 14 = 120 liters used 

the second  1680 / 12 = 140 litres used 

so 140-120 = 20 liters <span>the second truck used  more </span>
8 0
3 years ago
If
baherus [9]

Answer:  see proof below

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

Given: cos 330 = \frac{\sqrt3}{2}

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}

Proof LHS → RHS:

LHS                          cos 165

Double-Angle:        cos (2 · 165) = 2 cos² 165 - 1

                             ⇒ cos 330 = 2 cos² 165 - 1

                             ⇒ 2 cos² 165  = cos 330 + 1

Given:                        2 \cos^2 165  = \dfrac{\sqrt3}{2} + 1

                              \rightarrow 2 \cos^2 165  = \dfrac{\sqrt3}{2} + \dfrac{2}{2}

Divide by 2:               \cos^2 165  = \dfrac{\sqrt3+2}{4}

                             \rightarrow \cos^2 165  = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}

                             \rightarrow \cos^2 165  = \dfrac{2\sqrt3+4}{8}

Square root:             \sqrt{\cos^2 165}  = \sqrt{\dfrac{4+2\sqrt3}{8}}

Scratchwork:            \cos^2 165  = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2

                             \rightarrow \cos 165  = \pm \dfrac{\sqrt3+1}{2\sqrt2}

             Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

                             \rightarrow \cos 165  = - \dfrac{\sqrt3+1}{2\sqrt2}

LHS = RHS \checkmark

4 0
4 years ago
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