Simplifying Roots of Order Four or Higher
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Problems 10
- Find −1777\sqrt[777]{-1}777−1.
- If x15=274x^{15} = 274x15=274, what is 2745\sqrt[5]{274}5274?
- Factor 2x4+3x3−16x−242x^4 + 3x^3 - 16x - 242x4+3x3−16x−24.
- When you factor the GCF out of the radical, what does this expression look like? 8x4+12x3−4x2\sqrt{8x^4+12x^3-4x^2}8x4+12x3−4x2
- When you factor the GCF out of the radical, what does this expression look like? −9x4y4+81x3y6+36x2y8\sqrt{-9x^4y^4+81x^3y^6+36x^2y^8}−9x4y4+81x3y6+36x2y8
- Simplify: 32x75\sqrt[5]{32x^7}532x7
- Simplify: 384x4y97\sqrt[7]{384x^4y^9}7384x4y9
- Simplify: 192x4y8z6\sqrt[6]{192x^4y^8z}6192x4y8z where all variables represent positive values.
- Simplify: 1215x4y5z65\sqrt[5]{1215x^4y^5z^6}51215x4y5z6
- Simplify: 2x444222\sqrt[222]{2x^{444}}2222x444