I found an answer from www.smithsonianmag.com

Squaring the Circle Is No Piece of Pi | Science | Smithsonian

Apr 30, 2000 ... Mathematicians call pi an irrational number. That is, when you ... But has anyone ever written poems about the square root of 2? How many ...

For more information, see Squaring the Circle Is No Piece of Pi | Science | Smithsonian

Square root of pi is 1.77245385091. To study irrational numbers one has to first understand what are rational numbers. In short, rational numbers are whole numbers, fractions, and decimals — the numbers we use in our daily lives.

A number is rational, if you can write it as a ratio of two integers, in other words in a form a/b where aand b are integers, and b is not zero. Clearly all fractions are of that form. Terminating decimal numbers can easily be written in that form, and also all non-terminating repeating decimals (decimals that repeat a sequence of digits) are rational. Easily, NON-repeating NON-terminating decimal numbers are IRRATIONAL NUMBERS. Pi is approximately 3.14. In reality, Pi is an unending, never repeating decimal, which means it is an irrational number. Here are the first digits: 3.1415926535897932384626433832795.

Another example of an irrational number is square root of 2, whose first decimals are 1.4142135623730950488016887242097. Most square roots are irrational.

I found an answer from www.scientificamerican.com

What Is Pi, and How Did It Originate? - Scientific American

May 17, 1999 ... But pi is an irrational number, meaning that its decimal form neither ... that circle by the formula: the area is equal to pi times the radius squared.

For more information, see What Is Pi, and How Did It Originate? - Scientific American

I found an answer from www.bbc.com

Surds - Higher - Edexcel - Revision 1 - GCSE Maths - BBC Bitesize

Surds are numbers left in square root form that are used when detailed accuracy is ... Examples of irrational numbers are \pi ... This square has an area of 3 m ².

For more information, see Surds - Higher - Edexcel - Revision 1 - GCSE Maths - BBC Bitesize

I found an answer from www.khanacademy.com

Approximating square roots to hundredths (video) | Khan Academy

The square root of a number is the number that when you multiply it by itself two .... Since non-perfect-squares have irrational square roots, you can keep doing ...

For more information, see Approximating square roots to hundredths (video) | Khan Academy

I found an answer from www.grc.nasa.gov

The Transcendentality of pi

Both pi and square root of two are irrational, but only pi is transcendental. What makes the difference? One important argument is that a line of length square root  ...

For more information, see The Transcendentality of pi

I found an answer from www.britannica.com

Algebraic number | Britannica.com

... numbers, all rational numbers, some irrational numbers, and complex numbers of the form pi + q, where p and q are rational, and i is the square root of −1.

For more information, see Algebraic number | Britannica.com

I found an answer from www.ancient.eu

Greek Mathematics - Ancient History Encyclopedia

Sep 24, 2013 ... We know today that the square root of 2 is an irrational number, which .... of this calculation, the value of the mathematical constant pi is 256/81.

For more information, see Greek Mathematics - Ancient History Encyclopedia

I found an answer from math.stackexchange.com

Prove that the square root of any irrational number is irrational ...

Said shortly, (pq)2=p2q2. is rational. The square of any rational is rational, hence no rational is the square root of an irrational.

For more information, see Prove that the square root of any irrational number is irrational ...

I found an answer from www.quora.com

Is the square root of pi irrational? - Quora

I'm almost sure this is not the question you mean to ask. I assume you already know that \pi is irrational. Great. Now, you're wondering whether we  ...

For more information, see Is the square root of pi irrational? - Quora

I found an answer from en.wikipedia.org

Proof that π is irrational - Wikipedia

In the 1760s, Johann Heinrich Lambert proved that the number π (pi) is irrational: that is, it cannot be expressed as a fraction a/b, where a is an integer and b is a ...

For more information, see Proof that π is irrational - Wikipedia