Example: The square root of some numbers (for example the number 60) is an irrational number that never terminates or repeats (7.745 966 692 ). Benchmark numbers can be used to state that the square root of 60 is between 6 and 7. The square root of 60, estimated to two decimal places is 7.75.

Example: The **square root** of some numbers (for example the number 60) is an irrational number that never terminates or repeats (7.745 966 692 ). Benchmark numbers can be used to state that the **square root** of 60 is between 6 and 7. The **square root** of 60, estimated to two decimal places is 7.75.

Also, what is the square root of 62 simplified? Answer and Explanation: The **square root of 62** is approximately 7.87. **62** is not a perfect **square** and it has no perfect **square** factors. Thus, to find √(**62**), we will find

Then, what is the perfect square of 60?

Square Numbers List

Number | Square | |
---|---|---|

57 | 3249 | =57 X 57 |

58 | 3364 | =58 X 58 |

59 | 3481 | =59 X 59 |

60 | 3600 | =60 X 60 |

What is the square root of 61 simplified?

Answer and Explanation: The **square root of 61** is 7.81, rounded. As you can see, it is not a perfect **square**. **61** is an imperfect **square** because its **square root** is not a whole

### What is the square root of 52 simplified?

You can simplify it to √52 = 2√13 (you will learn how to simplify square root in the next section) and then substitute √13 ≈ 3.61 . Finally, make a multiplication √52 ≈ 2 * 3.61 = 7.22 .

### What are the square roots of 64?

The square root of 64 is: √(64) = 8 because (8)(8) = 64; however, “every positive real number such as 64 has two square roots; one is positive and the other is negative; They are opposites of each other.”; That is they lie on opposites sides of zero on the number line and are same distance from zero.

### What is the simplest form of 36 60?

Simplify 36/60 to the simplest form. 36/60 Simplified Answer: 36/60 = 3/5

### How do you simplify the square root of 65?

As a result, the square root can be expressed as a very simple continued fraction √65=[8;¯¯¯¯16]=8+116+116+116+116+ You can use this to give you good approximations for √65 , by truncating the continued fraction after a few terms.

### What is the radical of 68?

Here’s another example: Simplify the square root of 68. Looking at it, I notice that 4 (a perfect square) goes into that. 68 = 4 x 17. And since 4 = 2^2, then 68 simplifies to 2 times the square root of 17.

### Is 50 a perfect square?

Explanation: 50 is not the perfect square of an integer or rational number. This is what we normally mean by “a perfect square”. It is a square of an irrational, algebraic, real number, namely 5√2 , therefore you could call it a perfect square in the context of the algebraic numbers.

### Does 60 have a square root?

60 is not a perfect square, so the answer will still include a radical (a square root of some number). We can simplify the square root of any number, though, if the number has any factors that are perfect squares. Note that √15 cannot be simplified further because none of the factors of 15 are perfect squares.

### Does 7 have a square root?

Since 7 is a prime number, it has no square factors and its square root cannot be simplified. It is an irrational number, so cannot be exactly represented by pq for any integers p,q . We can however find good rational approximations to √7 .

### Is 64 a perfect square?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 64 is 8. Therefore, the square root of 64 is an integer, and as a consequence 64 is a perfect square. As a consequence, 8 is the square root of 64.

### What’s the square of 13?

Featured Videos NUMBER SQUARE SQUARE ROOT 11 121 3.317 12 144 3.464 13 169 3.606 14 196 3.742

### Is 7 a perfect square?

Is 7 a perfect square number? A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 7 is about 2.646. Thus, the square root of 7 is not an integer, and therefore 7 is not a square number.

### What is meant by perfect square?

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 × 3.