3√98 + √50

asked by guest
on Nov 28, 2024 at 7:35 am



You asked:

Evaluate the expression: 398+503 \sqrt{98} + \sqrt{50}

MathBot Answer:

398+50=262≈36.769552621700471268843906829452153 \sqrt{98} + \sqrt{50} = 26 \sqrt{2} \approx 36.76955262170047126884390682945215

398+50=3⋅98+50=3⋅7⋅2+50=21⋅2+50=21⋅2+5⋅2=26⋅2\begin{aligned}3 \sqrt{98} + \sqrt{50}&=3 \cdot \sqrt{98} + \sqrt{50}\\&=3 \cdot 7 \cdot \sqrt{2} + \sqrt{50}\\&=21 \cdot \sqrt{2} + \sqrt{50}\\&=21 \cdot \sqrt{2} + 5 \cdot \sqrt{2}\\&=26 \cdot \sqrt{2}\end{aligned}

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