Simplify: sqrt(72) + sqrt(800) - sqrt(18)
Simplify: sqrt(72) + sqrt(800) - sqrt(18)
Aniket Singh , 1 Year ago
Grade
7 grade maths> Simplify: sqrt(72) + sqrt(800) - sqrt(18)...
1 AnswersAskiitians Tutor Team
To simplify the expression:
√72 + √800 - √18
We will first break down each square root into simpler components.
Simplifying √72: √72 can be written as √(36 × 2) = √36 × √2 = 6√2.
Simplifying √800: √800 can be written as √(400 × 2) = √400 × √2 = 20√2.
Simplifying √18: √18 can be written as √(9 × 2) = √9 × √2 = 3√2.
Now, substitute the simplified square roots into the original expression:
6√2 + 20√2 - 3√2
Combine like terms (since all terms have √2):
(6 + 20 - 3)√2 = 23√2.
Thus, the simplified expression is:
23√2.
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