Simplify 25⋅5⋅5⋅4
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Simplify 25⋅5⋅5⋅4
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WebbSimplifying square roots Example Let's simplify \sqrt {75} 75 by removing all perfect squares from inside the square root. We start by factoring 75 75, looking for a perfect square: 75=5\times5\times3=\blueD {5^2}\times3 75 = 5×5 ×3 = 52 ×3. We found one! This allows us to simplify the radical:
Webb26 nov. 2024 · 1) The simplified form of √550 is 5√22 thus, (Option D) is correct 2) The expression that is equal to 7/√5 is 7√5/5 (Option C) 3) The simplified form of 5/√10 is √10/2 (Option C) What is the rationale for the above responses? 1) The factors of the 550 can be written as: 550 = 5x5x2x11 = √ (5x5x2x11) = 5√ (2x11) = 5√22 WebbSimplify: 81 a 4 b 5 4. Solution: Determine all factors that can be written as perfect powers of 4. Here, it is important to see that b 5 = b 4 ⋅ b. Hence the factor b will be left inside the radical. 81 a 4 b 5 4 = 3 4 ⋅ a 4 ⋅ b 4 ⋅ b 4 = 3 4 4 ⋅ a 4 4 ⋅ b 4 4 ⋅ b 4 = 3 ⋅ a ⋅ b ⋅ b 4 = 3 a b b 4. Answer: 3 a b b 4
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Webb6 okt. 2024 · Exponents are sometimes indicated with the caret (^) symbol found on the keyboard: 5 ^ 4 = 5 ∗ 5 ∗ 5 ∗ 5. Next consider the product of 23 and 25, Expanding the …
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