Find the value of given expression √(65 * 65) ​

Question

Find the value of given expression


`√(65 * 65)`
​

Answer 1

`65`

`√(65 * 65) \\ = 65`

Answer 2

`\huge \colorbox{blue}{65}`

Explanation:

to understand this

you need to know about:

• PEMDAS

tips and formulas:

order of PEMDAS

1. parentheses
2. exponent
3. multiplication or
4. division
5. addition or
6. substraction

• left to right

let's solve:

simplify multiplication:

`\displaystyle \: \sqrt{ {65}^(2) }`

use
`√(x^m)=x^{(1)/(2)* m}` to simplify:

`\displaystyle \: = {65}^{2 * (1)/(2) } \\ = {65}^{ \cancel{ \: 2 }* \frac{1}{ \cancel{ \: 2}} } \\ = {65}^(1)`

as we know x¹=x

therefore our final answer is

• 65