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Find the simplest value of 2√50 + √18 - √72 = ?(given √2 = 1.414)

14.242
29.898
310.6312
48.484

Answer:- 1

Explanation:-

Solution:

\begin{aligned} 2 \sqrt{50} + \sqrt{18} - \sqrt{72} \\ \Rightarrow 2 \times 5 \sqrt{2} + 3 \sqrt{2} - 6 \sqrt{2} \\ \Rightarrow 13 \sqrt{2} - 6 \sqrt{2} \\ \Rightarrow 7 \sqrt{2} \\ \Rightarrow 7 \times 1.414 \\ \Rightarrow 9.898 \end{aligned}

$\eqalign{ & {\text{2}}\sqrt {50} {\text{ + }}\sqrt {18} - \sqrt {72} \cr & \Rightarrow {\text{2}} \times {\text{5}}\sqrt 2 {\text{ + 3}}\sqrt 2 - 6\sqrt 2 \cr & \Rightarrow 13\sqrt 2 - 6\sqrt 2 \cr & \Rightarrow 7\sqrt 2 \cr & \Rightarrow 7 \times 1.414 \cr & \Rightarrow 9.898 \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} 2 \sqrt{50} + \sqrt{18} - \sqrt{72} \\ \Rightarrow 2 \times 5 \sqrt{2} + 3 \sqrt{2} - 6 \sqrt{2} \\ \Rightarrow 13 \sqrt{2} - 6 \sqrt{2} \\ \Rightarrow 7 \sqrt{2} \\ \Rightarrow 7 \times 1.414 \\ \Rightarrow 9.898 \end{aligned}

$\eqalign{ & {\text{2}}\sqrt {50} {\text{ + }}\sqrt {18} - \sqrt {72} \cr & \Rightarrow {\text{2}} \times {\text{5}}\sqrt 2 {\text{ + 3}}\sqrt 2 - 6\sqrt 2 \cr & \Rightarrow 13\sqrt 2 - 6\sqrt 2 \cr & \Rightarrow 7\sqrt 2 \cr & \Rightarrow 7 \times 1.414 \cr & \Rightarrow 9.898 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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