Surds & Square Roots , i. √8 + √18 = ? ii. √[9√(6 + √100)]
Q. √8 + √18 = ?
Options: a) √26 b) √10 c) √50 d) √25
Soln
√8 = √4 × 2 = 2√2
√18 = √9 x 2 = 3√2
Adding like terms: 2√2 + 3√2 = 5√2
Ans: b) 50 = √25 x 2 = 5√2
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Q. √[9√(6 + √100)] Options: a) √13 b) 6 c) √115 d) 12
Soln
√9√6 + √100
Since,
√100 = 10
Therefore,
= √9 √6+10 = √9√16 = √9 x 4 = √36 = 6
Ans: B) 6