Answer :
Final answer:
The expression 5*sqrt(10) + sqrt(40) + sqrt(90) simplifies to 10*sqrt(10). This is achieved by factoring out common multiples under each square root and adding like terms.
Explanation:
The given expression is 5 * sqrt(10) + sqrt(40) + sqrt(90), and your task is to find an equivalent expression. The given expression can be simplified by factoring out common multiples under each square root.
Firstly, sqrt(40) can be written as sqrt(4*10) = 2*sqrt(10).
Similarly, sqrt(90) can be written as sqrt(9*10) = 3*sqrt(10).
So, the expression 5*sqrt(10) + sqrt(40) + sqrt(90) simplifies to 5*sqrt(10) + 2*sqrt(10) + 3*sqrt(10) = 10*sqrt(10).
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