Alg. 2 Radical & Rational Exponent Problems (master list)
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6 √2 √3= √6 √23 23 64 4√8 √8 √8 = 8 2 3√2 √10= 12√5 5√6 √60 6√5 6√8 3√2 √6 √8= 2∕6 4√3 √5 √18 = 9√10 30 5√18 3√10 9√3 7√3 √3 √21= 3√7 3√3 5√5 √20= 4√50 10√10 50 5√5 -√2 √12= 6√3 -2√6 -6√3 2√6 √32x2 4x√2 2√2x 4√2x 2x√4 √9 √20= 6√5 5√6 10√5 3√20 √100 = √4 √40 = √ √63 = √ √(49x3) = √ √300 = √ √49 = √60 = √ ∛ 8 = ∛125 = √169 = √ x12 = exponent x8y12 ∜(x20y8) = x5y2 x2y4 4√3 + √3= √ 6√2 - 11√2 + √2= √ 7∛2 + 3∛2 +2∛2= ∛ 4∛3 + 7∛5 + 10∛3 = 21∛3 21∛5 14∛3 + 7∛5 14∛8 + 7∛5 5(2⅓) + 7(2⅓) = 24⅓ -2∛2 12(2½) 12∛2 ALWAYS reduce before combining like terms. 2√12 + 3√3 = √ ALWAYS reduce first before combining like terms. 4∛2 - 7∛16 = ∛ If answer needs a square root symbol, √ √18 + √64 Copy & paste it in. Copy & paste the radical symbol that you need Write in radical form. √ 6½ = to answer the question. ∛ ∜ Copy & paste the radical symbol that you need Write in radical form. √ 7¼ = to answer the question. ∛ ∜ Copy & paste the radical symbol that you need Write in radical form. √ 3x½ = to answer the question. ∛ ∜ Copy & paste the radical symbol that you need Write in radical form. √ (3x)½ = to answer the question. ∛ ∜ Copy & paste the radical symbol that you need Write in radical form. 7x½y½ = √ to answer the question. ∛ ∜ Copy & paste the radical symbol that you need 7x½ + 3x½ - 12x½= √ Simplify to Radical form to answer the question. ∛ ∜ Does it have a shrink, stretch or none? H: V: If there is not or horizontal or vertical shift, then type none in the provided box. f(x) = √(x+5) -6 R: (yes or no) Does it have a shrink, stretch or none? V: H: If there is not horizontal or vertical shift, then type none in the provided box. f(x) = -2√(x) + 3 R: (yes or no)   Is the graph correct? yes no  Is the graph corrrect? yes no H: V: If there is not horizontal or vertical shift, then type none in the provided box. f(x) = ∛(x+6) - 5 R: (yes or no) 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Domain of the graph: Range of the graph: For Domain/Range use > or < symbols For the answer "All Real Numbers" use R y=√(x+2) Such as x< 7 and y>-3 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Domain of the graph: Range of the graph: y=√(x) + 4 For Domain/Range use > or < symbols For the answer "All Real Numbers" use R Such as x< 7 and y>-3 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Domain of the graph: Range of the graph: For Domain/Range use > or < symbols For the answer "All Real Numbers" use R Such as x< 7 and y>-3 y =∛(x) 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Domain of the graph: Range of the graph: For Domain/Range use > or < symbols For the answer "All Real Numbers" use R Such as x< 7 and y>-3 y =∛(x) - 1 Does it have a shrink, stretch or none? V: H: If there is not horizontal or vertical shift, then type none in the provided box. f(x) = √(x-1)+ 4 R: (yes or no) Does it have a shrink, stretch or none? V: H: If there is not horizontal or vertical shift, then type none in the provided box. f(x) = 3√(x+2) R: (yes or no) Does it have a shrink, stretch or none? V: H: If there is not horizontal or vertical shift, then type none in the provided box. f(x) = -⅛∛x R: (yes or no) Does it have a shrink, stretch or none? V: H: If there is not horizontal or vertical shift, then type none in the provided box. f(x) = 5∛(x-6) - 2 R: (yes or no) Write a rule for g described by this transformation of f(x). Let g be a vertical shrink by a factor of ⅓, followed by a translation of 3 units right of the graph of g(x) = ⅓√(x+3) g(x) = ⅓√(x+2) f(x) = √(x+5) g(x) = ⅓√(x-5) g(x) = ⅓√(x+8) 5-2 = Simplify 3-2 = Simplify 7 • 4-3 = Simplify 3-2 5-1 = Simplify x-3y5 = Simplify x3y5 1 y5 x3y5 x3 7x-2y-1 = 7 x2y Simplify 7x2y 1 7x2y 0 (4-3•75) 0= Simplify 75 43 1 6 √6 √2 Simplify √23 √3= 23 -2√6 Multiply & Reduce -√2 6√3 √12= 2√6 -6√3 √100 = √4 Simplify √40 = Simplify √ √(49x3) = Simplify √ √300 = Simplify √ √49 = Simplify ∛8 Simplify = ∛125 = √169 = Simplify x8y12 ∜(x20y8) = Simplify x5y2 x2y4 4√8 √9 Simplify 8 √9 = 9 9√10 30 √5 Simplify √18 = 3√10 5√18 √32x2 4√2x 2x√4 2√2x 4x√2 √256 = √16 Simplify √50 = Simplify √ √80 = Simplify √ √12 = Simplify √ ∛343 Simplify = ∛125 = ∜16 = Simplify √x6 = Simplify (exponent) x8y12 ∜(x12y16 )= Simplify x3y4 x2y4 √21 21 √7 Simplify √23 23 √3= √5 9√10 Simplify √18 = 3√10 -√2 -2√6 Simplify -6√3 √12= 4√2x 2√2x √(32x2) Simplify 2x√4 4x√2 92⅛= 16¼= Round any decimal answers to the tenths place. 27⅓= Use a calculator to simplify the following.  Note: Volume of a cylinder is... Use a calculator to find the radius of the cylinder. Round your answer to the hundreths place. Given that the volume is 200 liters. h=15 V=πr2h cubic liters Solve for x x= 8x3 = 64 |
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