How Do We Know the Square Root of 2 Is Irrational?
There are all kinds of numbers. Natural numbers, which are also called counting numbers, are familiar to young children. Whole numbers adds the number zero to the list of natural numbers. Integers go a step further, adding negative numbers to the list of whole numbers.
Then we get to rational numbers. Calling a number rational is a fancy way of saying that its value can be precisely defined with a fraction made up of integers. As such, rational numbers fill in the spaces between the integers.
But not all fractions whose values fall in between the integers are rational. Some of these fractions cannot be written using integers at all. Long ago, mathematicians decided to call these numbers irrational because there is no way to use fractions using integers to express their exact value.
One of the earliest of the list of irrational numbers to be discovered is the square root of 2. While you might be able to approximate the square root of two using fractions with integers, you’ll always come up short of expressing its exact value because it just doesn’t work, no matter what integers you might use.
That scenario leads to an interesting question. How do we know that the square root of 2 is an irrational number? The answer lies is some clever thinking, as illustrated in the following two-minute video that features Taylor Swift proving the square root of 2 is irrational!
And that’s how we know the square root of 2 cannot be exactly expressed using fractions made up of integer values.
On a closing note, although we recognize Taylor Swift as incredibly talented, credit for the discovery probably lies with Hippasus of Metapontum, who had to deal with his day’s own version of irrational fandom.
Source: https://politicalcalculations.blogspot.com/2024/01/how-do-we-know-square-root-of-2-is.html
Anyone can join.
Anyone can contribute.
Anyone can become informed about their world.
"United We Stand" Click Here To Create Your Personal Citizen Journalist Account Today, Be Sure To Invite Your Friends.
Before It’s News® is a community of individuals who report on what’s going on around them, from all around the world. Anyone can join. Anyone can contribute. Anyone can become informed about their world. "United We Stand" Click Here To Create Your Personal Citizen Journalist Account Today, Be Sure To Invite Your Friends.
LION'S MANE PRODUCT
Try Our Lion’s Mane WHOLE MIND Nootropic Blend 60 Capsules
Mushrooms are having a moment. One fabulous fungus in particular, lion’s mane, may help improve memory, depression and anxiety symptoms. They are also an excellent source of nutrients that show promise as a therapy for dementia, and other neurodegenerative diseases. If you’re living with anxiety or depression, you may be curious about all the therapy options out there — including the natural ones.Our Lion’s Mane WHOLE MIND Nootropic Blend has been formulated to utilize the potency of Lion’s mane but also include the benefits of four other Highly Beneficial Mushrooms. Synergistically, they work together to Build your health through improving cognitive function and immunity regardless of your age. Our Nootropic not only improves your Cognitive Function and Activates your Immune System, but it benefits growth of Essential Gut Flora, further enhancing your Vitality.
Our Formula includes: Lion’s Mane Mushrooms which Increase Brain Power through nerve growth, lessen anxiety, reduce depression, and improve concentration. Its an excellent adaptogen, promotes sleep and improves immunity. Shiitake Mushrooms which Fight cancer cells and infectious disease, boost the immune system, promotes brain function, and serves as a source of B vitamins. Maitake Mushrooms which regulate blood sugar levels of diabetics, reduce hypertension and boosts the immune system. Reishi Mushrooms which Fight inflammation, liver disease, fatigue, tumor growth and cancer. They Improve skin disorders and soothes digestive problems, stomach ulcers and leaky gut syndrome. Chaga Mushrooms which have anti-aging effects, boost immune function, improve stamina and athletic performance, even act as a natural aphrodisiac, fighting diabetes and improving liver function. Try Our Lion’s Mane WHOLE MIND Nootropic Blend 60 Capsules Today. Be 100% Satisfied or Receive a Full Money Back Guarantee. Order Yours Today by Following This Link.
| Online: | |
| Visits: | 1,656,716,791 |
| Stories: | 8,293,767 |
Whistler Blowers, Insiders
