simplify √72+√800-√18.
Answers
Answer:
√72+√800-√18
⇒ √(36*2)+√(400*2)-√(9*2)
⇒6√2+20√2-3√2
⇒23√2
Answer:
Hello Mate here is your answer below.
\begin{gathered} \sqrt{72} + \sqrt{800} - \sqrt{18} \\ = > \sqrt{2 \times 2 \times 2 \times 3 \times 3} + \sqrt{10 \times 10 \times 2 \times 2 \times 2} - \sqrt{2 \times 3 \times 3} \\ \\ now \: we \:take \: common \: multipul \: \\ \\ \sqrt{2 {}^{2} \times 3 {}^{2} \times 2 } + \sqrt{10 {}^{2} \times 2{}^{2} \times 2 } - \sqrt{3 {}^{2} \times 2 } \\ \\ 2 \times 3 \sqrt{2} + 10 \times 2 \sqrt{2} - 3 \sqrt{2} \\ 6 \sqrt{2} + 20 \sqrt{2} - 3 \sqrt{2} \\ 26 \sqrt{2} - 3 \sqrt{2} \\ 23 \sqrt{2} \\ \\ \end{gathered}72+800−18=>2×2×2×3×3+10×10×2×2×2−2×3×3nowwetakecommonmultipul22×32×2+102×22×2−32×22×32+10×22−3262+202−32262−32232
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