This means that **√65 is already in the simplest root form**.

Contents

- Does 65 have a square root?
- What is the principal root of 65?
- What is the square root of 64 simplified?
- What is the square root of 66 simplified?
- What is a factor of 65?
- Is 65 a perfect cube?
- Is 65 a perfect square?
- Is 65 rational or irrational?
- Is 65 a irrational number?
- What is the square √ 64?
- How do you simplify square roots?
- What is 64 simplified?
- What is the square root of 65 as a fraction?
- Is 66 a perfect square?
- What is the square root of 60 simplified?
- How do you get the number 65?
- What is the least factor of 65?
- Is 65 prime or composite?
- What is perfect square root?

The square root of 64 is **8**. Important Notes: 64 is a perfect square because the answer obtained after taking the square root is a rational number. The square root of 64 can be simplified to 8 by either using the prime factorization of 64 or expressing 64 as the square of 8.

The symbol √ is called the root sign. Simplifying the square root of 66 means getting the simplest root form of √66. Since 1 above is the only perfect square, the square root of 66 **cannot be simplified**.

Therefore the factors of 65 are **1, 5, 13 and 65**.

Is 65 a perfect dice? The prime factorization number 65 is 5 × 13. Here the prime factor 5 is not the power of 3. Therefore, the cube root of 65 is irrational, so **65 is not a perfect cube**.

**65 is not a perfect square**. We can find the square root of 65 by the approximation method. To find the exact value, we can use the long division method. In the approximation method, we find square numbers close to 65.

65 is a **rational number** because it can be expressed as the quotient of two integers: 65 ÷ 1.

65 is **not an irrational number** because it can be expressed as the quotient of two integers: 65 ÷ 1.

The square root of 64 is 8, so **√64 = 8**.

Explanation: 64% can be rewritten as **64100**. The greatest common divisor (GCF) of 64 and 100 is 4, so you can divide the numerator and denominator by 4 to find the fraction in its simplest form.

Note that √65 is an irrational number. That is, it cannot **be expressed as a fraction pq** for integers p and q.

66 is not a perfect square.

The square root of 60 is expressed as √60 in root form and as (60)^{½} or (60)^{0.5} in exponent form. The square root of 60 rounded up to 10 decimal places is 7.7459666924. It is the positive solution of the equation x^{2} = 60. We can express the square root of 60 in its smallest root form as **2 √15**.

65 = **1×65 or 5×13**. Factors of 65: 1, 5, 13, 65. Prime factorization: 65 = 5 x 13. 65 – 56 = 9, a square number and 65+56 = 121, another square number.

**13** is the smallest factor of 65 other than 1.

Is 65 a prime number? “No, 65 is not a prime number.” Because 65 has more than 2 divisors, i.e. 1, 5, 13, 65, it is a **compound number**.

A square root is the number that, when multiplied by itself, gives a given number. Square numbers are **numbers whose square roots are integers**. These numbers are perfect squares: 4, 9, 16, 25, 36. If you look at their pictures you can see why. These numbers are square numbers because their square roots are integers.

- https://www.youtube.com/watch?v=nrLTrC1yx48
- https://www.infoplease.com/math-science/mathematics/numbers-formulas/table-of-squares-and-square-roots
- https://www.cuemath.com/algebra/square-root-of-64/
- https://numbermaniacs.com/SimplifySquareRoot/Simplify-square-root-of-66.html
- https://byjus.com/maths/factors-of-65/
- https://www.cuemath.com/algebra/cube-root-of-65/
- https://www.cuemath.com/algebra/square-root-of-65/
- https://www.mathwarehouse.com/answered-questions/is-rational/is-65-a-rational-number-solved.php
- https://www.mathwarehouse.com/answered-questions/is-irrational/is-65-an-irrational-number-solved.php
- https://byjus.com/maths/square-root-of-64/
- https://www.youtube.com/watch?v=wSBxW7LW3DA
- https://socratic.org/questions/what-is-64-as-a-fraction-in-simplest-form
- https://socratic.org/questions/how-do-you-simplify-sqrt65
- https://www.mathwarehouse.com/answered-questions/is-square/is-66-a-perfect-square-solved.php
- https://www.cuemath.com/algebra/square-root-of-60/
- https://findthefactors.com/tag/factors-of-65/
- https://brainly.in/question/7605021
- https://www.cuemath.com/numbers/is-65-a-prime-number/
- https://flexbooks.ck12.org/cbook/ck-12-interactive-middle-school-math-8-for-ccss/section/10.5/related/lesson/evaluation-of-perfect-square-roots-msm7/

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