Simplify: 5sqrt162-3sqrt18÷4sqrt98

Simplify Square Roots: Simplify each square root term separately. 5√162 = 5√(81*2) = 5*9√2 = 45√2, 3√18 = 3√(9*2) = 3*3√2 = 9√2, 4√98 = 4√(49*2) = 4*7√2 = 28√2.Perform Division: Perform the division next. (9√2) ÷ (28√2) = 9/28.Combine Results: Combine the results. 45√2 - (9/28), Since 45√2 is not like terms with 9/28, they can't be directly subtracted.

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Simplify: $\newline$ $5\sqrt{162}-3\sqrt{18}\div 4\sqrt{98}$

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Grade 7

Add and subtract like terms: with exponents

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Q. Simplify:

\newline

5\sqrt{162}-3\sqrt{18}\div 4\sqrt{98}

Simplify Square Roots: Simplify each square root term separately. $\newline$ $5\sqrt{162} = 5\sqrt{(81\times2)} = 5\times9\sqrt{2} = 45\sqrt{2}$ , $\newline$ $3\sqrt{18} = 3\sqrt{(9\times2)} = 3\times3\sqrt{2} = 9\sqrt{2}$ , $\newline$ $4\sqrt{98} = 4\sqrt{(49\times2)} = 4\times7\sqrt{2} = 28\sqrt{2}$ .
Perform Division: Perform the division next. $\newline$ $(9\sqrt{2}) \div (28\sqrt{2}) = \frac{9}{28}$ .
Combine Results: Combine the results. $\newline$ $45\sqrt{2} - \left(\frac{9}{28}\right)$ , $\newline$ Since $45\sqrt{2}$ is not like terms with $\frac{9}{28}$ , they can't be directly subtracted.