which expression equals $9sqrt3{10}$?\n$5sqrt{10}+4sqrt{10}$\n$5sqrt3{10}+4sqrt3{10}$\n$5sqrt{10}+4sqrt3{10}$…

which expression equals $9sqrt3{10}$?\n$5sqrt{10}+4sqrt{10}$\n$5sqrt3{10}+4sqrt3{10}$\n$5sqrt{10}+4sqrt3{10}$\n$5sqrt3{10}+4sqrt{10}$

which expression equals $9sqrt3{10}$?\n$5sqrt{10}+4sqrt{10}$\n$5sqrt3{10}+4sqrt3{10}$\n$5sqrt{10}+4sqrt3{10}$\n$5sqrt3{10}+4sqrt{10}$

Answer

Explanation:

Step1: Combine like - terms rule

When we have terms with the same radical part, we can combine them. For terms (a\sqrt[3]{10}) and (b\sqrt[3]{10}), the sum is ((a + b)\sqrt[3]{10}).

Step2: Analyze each option

For the option (5\sqrt[3]{10}+4\sqrt[3]{10}), using the rule (a\sqrt[3]{10}+b\sqrt[3]{10}=(a + b)\sqrt[3]{10}), where (a = 5) and (b = 4), we get ((5 + 4)\sqrt[3]{10}=9\sqrt[3]{10}).

Answer:

(5\sqrt[3]{10}+4\sqrt[3]{10})