Question

simplify. 4√8 + √98

Explanation:

Step1: Simplify square - roots

Simplify $\sqrt{8}$ and $\sqrt{98}$. We know that $\sqrt{8}=\sqrt{4\times2}=2\sqrt{2}$ and $\sqrt{98}=\sqrt{49\times2}=7\sqrt{2}$.

Step2: Substitute simplified square - roots

Substitute into the original expression $4\sqrt{8}+\sqrt{98}$, we get $4\times2\sqrt{2}+7\sqrt{2}$.

Step3: Calculate the first term

$4\times2\sqrt{2}=8\sqrt{2}$, so the expression becomes $8\sqrt{2}+7\sqrt{2}$.

Step4: Combine like terms

Since $8\sqrt{2}$ and $7\sqrt{2}$ are like terms, we add the coefficients: $(8 + 7)\sqrt{2}=15\sqrt{2}$.

Answer:

$15\sqrt{2}$