Answer:
[tex]3 \sqrt{5} [/tex]
Step-by-step explanation:
Solve using Surd
[tex] \sqrt{45} = \sqrt{9 \times 5} \\ = \sqrt{ {3}^{2} \times 5 } \\ = 3\sqrt{5} [/tex]
The expression 3√5 will be equivalent to a square root of 45.
Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given the expression √(45)
⇒ √(9×5)
⇒ √(3²×5)
⇒ √(3²)√(5)
Since the square root of a square is the same number
So,
⇒ 3√5
Hence "The expression 3√5 will be equivalent to a square root of 45".
To learn more about the arithmetic operators,
brainly.com/question/25834626
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