Question

simplify √72+√800-√18
​

Answer 1

Answer:

2[72 2[800 2[18

2 [36 2[400 3[9

2[18 2[200 3

3[9 2[100

3 2[50

5[25

5

√72=2x3x√2=6√2 -------- (1)

√800=2x2x5x√2=20√2-------(2)

√18= 3√2----------(3)

add eqyation 1,2&3 we get

=√72+√800-√18

=6√2+20√2-3√2

=√2(6+20-3)

=√2(26-3)

=√2(23)

=23√2

Answer 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

I hope that helps you....

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❣RIDDHIMA❣