sure... I bet lots of people can simplify this... How 'bout 5x sq -15
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(y+1)/5 + (2y+1)/2 = 1 Multiply through by 10 (= hcf of 5 and 2) 2(y+1) + 5(2y+1) = 10 2y+2 + 10y+5 = 10 ie 12y = 3 or y = 1/4
Sure. the square root of 6 times 4 square roots of 6 is the same as the square root of 6 to the power of five which can be reduced to 6 squared times the square root of 6. The resulting answer is 36 root 6.
For the expression: (√2 + √6) / (√8 + √6) You can divide all terms by √2: = (1 + √3) / (√4 + √3) And solve the √4 in the denominator: = (1 + √3) / (2 + √3) You can then eliminate the radical in the denominator by using the "difference of squares", multiplying both the numerator and denominator by 2 - √3: = (1 + √3)(2 - √3) / (2 + √3)(2 - √3) = (2 - √3 + 2√3 - 3) / (4 - 3) And simplify: = (-1 + √3) / 1 = √3 - 1
yes
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