Question

find the value of given expression

$\sqrt{65 \times 65}$
​

Answer 1

Answer:

$\huge \colorbox{blue}{65}$

Step-by-step 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 $\sqrt{x^m}=x^{\frac{1}{2}\times m}$ to simplify:

$\displaystyle \: = {65}^{2 \times \frac{1}{2} } \\ = {65}^{ \cancel{ \: 2 }\times \frac{1}{ \cancel{ \: 2}} } \\ = {65}^{1}$

as we know x¹=x

therefore our final answer is

• 65

Answer 2

Answer:

$65$

$\sqrt{65 \times 65} \\ = 65$