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 *a*and *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