Respuesta :
Answer:
405
Step-by-step explanation:
[tex]\left(\sqrt{5}+\sqrt{45}+\sqrt{125}\right)^2[/tex]
[tex](\sqrt{5}+3\sqrt{5}+5\sqrt{5})^2[/tex]
[tex](9\sqrt{5} )^2[/tex]
[tex]81 \cdot 5[/tex]
[tex]405[/tex]
The solution for the expression ( √5 + √45 + √125 )² will be 405.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression will be solved as below:-
Let the expression is represented by E.
E = (√5 + √45 + √125 )²
E = (√5 + 3√5 + 5√5 )²
Add all the values and solve further to get the solution for the expression.
E = (9√5)²
E = 81 x 5
E = 405.
Therefore, the solution for the expression ( √5 + √45 + √125 )² will be 405.
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