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2 years ago

Is the simplified form of 2 square root of 3 + 3 square root of 3 rational?

Mathematics

1 answer:

trasher [3.6K]2 years ago

5 0

$2\sqrt3+3\sqrt3=(2+3)\sqrt3=5\sqrt3-\text{It's an irrational number}$

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Classify the number by indicating into which set or sets it belongs -6

lys-0071 [83]

-6 belongs to a set of real numbers and also a set of rational numbers.

Real numbers are all integers: positive and negative whole numbers. So -6 is a real number.

Rational numbers are all numbers that can be expressed as a fraction i.e numerator/denominator form. So -6 = -6/1 which is a rational number.

7 0

2 years ago

How many spoons does Steven have

sleet_krkn [62]

Answer:

The answer is...

$s - 18.$

Hopefully, this helps you!!

$AnimeVines$

5 0

2 years ago

Read 2 more answers

Harvey the wonder hamster can run 3\dfrac16 \text{ km}3 6 1 km3, start fraction, 1, divided by, 6, end fraction, start text, s

Snowcat [4.5K]

Answer:

$Speed = \frac{38}{3}km/hr$

Step-by-step explanation:

Given

$Distance = 3\frac{1}{6}km$

$Time = \frac{1}{4}hr$

Required

Determine the average speed

Average speed is calculated as thus;

$Speed = \frac{Distance}{Time}$

$Speed = 3\frac{1}{6}/\frac{1}{4}$

$Speed = 3\frac{1}{6} * \frac{4}{1}$

Convert Mixed Fraction to Improper fraction

$Speed = \frac{19}{6} * \frac{4}{1}$

$Speed = \frac{19 * 4}{6 * 1}$

$Speed = \frac{76}{6}$

Divide both sides of the fraction by 2

$Speed = \frac{38}{3}$

Hence:

The speed is:

$Speed = \frac{38}{3}km/hr$

3 0

2 years ago

A chemist has two acid solutions in stock: one is a 50% solution, and the other is a 80% solution. How much of each solution sho

arsen [322]

Easy way, visual

50---68---80%
Difference 18 12
Invert order to give ratio of 50% and 80%
Ratio 12 18 = 2:3

So by simple proportion:
volume of 50% needed = 100*2/(2+3)=40 mL
volume of 80% needed = 100*3/(2+3)=60 mL

Algebra way
Let x=volume of 50% needed.
Then
0.50*x+0.80*(100-x) = 0.68(100)
Expand and solve for x
0.5x+80-0.8x = 68
0.8x-0.5x = 80-68
0.3x = 12
x=12/0.3 = 40 mL (volume of 50%)
100-x=100-40=60 mL (volume of 80%)

8 0

2 years ago

4. Evaluate -8÷2+12×9-4x6\ 56÷7x2

olchik [2.2K]

Answer:

Step-by-step explanation:

In Questions that involve multiple mathematical operations, we use the BODMAS or PEMDAS.

BODMAS is an acronym and it represents; Bracket, Order, Division, Multiplication, Addition, and Subtraction.

PEMDAS is also an acronym that means the same thing with BODMAS, it represents; Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction

We solve using the order present in BODMAS

-8 ÷ 2 + 12 × 9 - 4 x 6 \ 56 ÷ 7 x 2

Solving all Multiplication, we have;

-8 ÷ 2 + 12 × 9 - 4 x 6 \ 56 ÷ 7 x 2

-8 ÷ 2 + 108 - 24 \ 56 ÷ 14

Solving all Division, we have;

-8 ÷ 2 + 108 - 24 \ 56 ÷ 14

-4 + 108 - 24 \ 4

-4 + 108 - 6

Solving all Addition, we have;

-4 + 108 - 6

104 - 6 = 98

4 0

1 year ago