Sederhanakan bentuk akar di bawah ini!a. √216 c. √0,000121b. √800catatan : Maaf kalau ada kesalahan, Terimakasih​

Penjelasan dengan langkah-langkah:a. √216 = √(36 × 6) = 6√6b. √800 = √(400 × 2) = 20√2c. √0.000121 = √(1.21 × 10‐⁴) = 1.1 x 10‐² = 0.011

Answered by arnymatematika | 2025-08-11

Penyelesaiana. [tex](216 = 2^3 \times 3^3)[/tex][tex]\sqrt{216} = \sqrt{2^3 \times 3^3}[/tex][tex]= \sqrt{(2^2 \times 3^2) \times (2 \times 3)}[/tex][tex]= \sqrt{36 \times 6}[/tex][tex]= \sqrt{36} \times \sqrt{6}[/tex][tex]= 6\sqrt{6}[/tex]b. [tex](800 = 2^5 \times 5^2)[/tex][tex]\sqrt{800} = \sqrt{(2^4 \times 5^2) \times 2}[/tex][tex]= \sqrt{16 \times 25 \times 2}[/tex][tex]= \sqrt{400 \times 2}[/tex][tex]= \sqrt{400} \times \sqrt{2}[/tex][tex]= 20\sqrt{2}[/tex]c. [tex]\sqrt{0,000121} = \sqrt{\frac{121}{1{,}000{,}000}}[/tex][tex]= \frac{\sqrt{121}}{\sqrt{1{,}000{,}000}}[/tex][tex]= \frac{11}{1.000}[/tex][tex]= 0,011[/tex]

Answered by vinganzbeut | 2025-08-11