For expression √(5²+12²)=∛64a³, a will be 3.25.
What exactly are expressions?
In mathematics, an expression is a combination of numbers, variables, and operations (such as addition, subtraction, multiplication, division, exponents, and roots) that are written using symbols and may or may not have a numerical value.
Expressions can be simple or complex, and they can contain one or more variables, which are letters used to represent unknown or changing values. Expressions are not equations because they do not have an equal sign, and they do not have a solution or a value until the variables are assigned specific values.
Now,
Starting with the equation:
√(5²+12²) = ∛64a³
Simplifying the left-hand side of the equation:
√(5²+12²) = √(25+144) = √169 = 13
Substituting the value of the left-hand side in the original equation:
13 = ∛64a³
Cubing both sides of the equation:
13³ = (∛64a³)³
2197 = 64a³
a³ = 2197/64
a³ = 34.328125
a = ∛(34.328125)
a ≈ 3.25
Therefore, the value of a is approximately 3.25.
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