The correct option is C 52(13 +2 √(5))^2 =? ×√(5)+189 ⇒ 169+20+2 × 13 × 2 √(5)=? ×√(5)+189 ⇒ 189+52 ×√(5)=? ×√(5)+189 ⇒ ? =52 ...

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Addition and Subtraction of Like and Unlike Surds

13+2 √52=? √5...

Question

$(13 + 2 \sqrt{5})^{2} = ? \sqrt{5} + 189$

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Solution

The correct option is C 52
$(13 + 2 \sqrt{5})^{2} = ? \times \sqrt{5} + 189 \Rightarrow 169 + 20 + 2 \times 13 \times 2 \sqrt{5} = ? \times \sqrt{5} + 189 \Rightarrow 189 + 52 \times \sqrt{5} = ? \times \sqrt{5} + 189 \Rightarrow ? = 52$

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