Simplification of surds Simplipy \( \frac{6 \sqrt{2 x^{8}}-2 \sqrt{8 x^{8}}}{\sqrt{8 x^{8}}} \) without the use of a cal

Calculate or simplify the expression \( (6\sqrt{2x^8}-2\sqrt{8x^8})/\sqrt{8x^8} \). Simplify the expression by following steps: - step0: Solution: \(\frac{\left(6\sqrt{2x^{8}}-2\sqrt{8x^{8}}\right)}{\sqrt{8x^{8}}}\) - step1: Remove the parentheses: \(\frac{6\sqrt{2x^{8}}-2\sqrt{8x^{8}}}{\sqrt{8x^{8}}}\) - step2: Simplify the root: \(\frac{6\sqrt{2}\times x^{4}-2\sqrt{8x^{8}}}{\sqrt{8x^{8}}}\) - step3: Simplify the root: \(\frac{6\sqrt{2}\times x^{4}-2\times 2\sqrt{2}\times x^{4}}{\sqrt{8x^{8}}}\) - step4: Multiply the numbers: \(\frac{6\sqrt{2}\times x^{4}-4\sqrt{2}\times x^{4}}{\sqrt{8x^{8}}}\) - step5: Simplify the root: \(\frac{6\sqrt{2}\times x^{4}-4\sqrt{2}\times x^{4}}{2\sqrt{2}\times x^{4}}\) - step6: Subtract the terms: \(\frac{2\sqrt{2}\times x^{4}}{2\sqrt{2}\times x^{4}}\) - step7: Divide the terms: \(1\) The simplified form of the expression \( \frac{6 \sqrt{2 x^{8}}-2 \sqrt{8 x^{8}}}{\sqrt{8 x^{8}}} \) is 1.