Strategy to Find Square Root of 19 + 16 root 2 Radical Expression with General Solution

SURDS Rational Roots TEST: • Square Roots Surds and...
Rationalization with 3 Terms: • Radical Operations Cha...
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Test: Surds
1. Prove that 1.6767… is not an irrational number
2. Which of the following expressions are not equivalent?
6√2-4√2, 60/√450, 6√8+√8-5√8, 8/√18+4/√18
3. (x+1)/(x^(1/2)+x^(-1/2) )=a+√b Find the value of a and b
4. Simply: ∛54+∛128-∛250
5. A rectangle has length of 1+√3 cm, and area of √12 cm2. Find the expression of its width in the form of a+√b cm.
6. Find the value of k if 243√3=3^k
7. Given that √(3+2√2) =√a+√b Find a and b.
8. Evaluate: √(20-√(20-√(20-…)) )
9. Find the perimeter of the triangle ABC where A(-√2,0),B(√5,0),and C(√3,0).
10. 1/(√1+√2)+1/(√2+√3)+1/(√3+√4)+⋯+1/(√8+√9)=K
Find exact value of K.

[@MathematicsTutor]

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[@MathematicsTutor]

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[@MathematicsTutor]

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[@MathematicsTutor]

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