Converting a decimal number to its radical form involves expressing the number as a root of an integer. The decimal 2.4 is not a perfect square, so it cannot be expressed as a simple radical like √2 or √3. However, we can look for a rational number whose square is 2.4 and then express that number in radical form. We might reason that since 2.4 is close to 2.25, which is the square of 1.5, then the square root of 2.4 must be slightly larger than 1.5.
Although there is no nice rational square root of 2.4, for practical purposes, you can approximate it. One way to find an approximation is to use the property that (ab)^n = a^n b^n . We can write 2.4 as 24/10 to give us a fraction we can work with. We know that 24 is a perfect square since it is 2^2 × 3^2, and 10 is not a perfect square but can be written as 2 × 5. So, we can rewrite √2.4 in its radical form as √(24/10) which equals √(2² × 3²) / √(2 × 5).
However, for perfect squares like 4.0, it is straightforward to represent them in radical form. For example, √4.0 simply equals to 2. In your question, the expression (2x)^2 = 4.0 (1 - x)^2 can be simplified by taking the square root of both sides to get 2x = 2 · (1 - x), which simplifies further to 2x = 2 - 2x, and then x = 0.5 after rearranging.
To convert 2.4 to radical form, express it as 2.4 , which simplifies to 10 2 6 . This involves converting it to a fraction and simplifying the square root. Thus, the radical form includes both a decimal approximation and a simplified radical expression.
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1. My buddy purchased a concert ticket for me. I love ___ very much.✅ a. It(“Ticket” adalah benda tunggal, jadi pakai “it”)2. Lions live in a group. ___ gather in keeping their territory.✅ b. They(“Lions” adalah jamak, maka pakai “they”)3. ___ people are waiting for your success, so keep your chin up!✅ c. Many(“People” jamak → “many people”)4. ___ rock climber is always challenged to climb more extreme cliffs.✅ d. A(Kata awal “rock climber” dimulai dengan konsonan bunyi, pakai “a”)5. They attach ___ strong evidence in the report.✅ b. An(“Evidence” dimulai dengan huruf vokal dan tidak bisa dihitung, gunakan “an”)6. Bringing ___ umbrella is ___ crucial thing to do in the rainy season.✅ c. An, A(“Umbrella” → an; “crucial thing” → a)7. Julie’s mom makes lunch for her. The lunch is ___.✅ a. Hers(Milik Julie → hers)8. Rudy has new binoculars helping him to see the galaxy. The binoculars are ___.✅ d. His(Milik Rudy → his)9. Jeno, Jaemin, and Jisung use the same custom rings. Those rings are ___.✅ a. Theirs(Milik mereka bertiga → theirs)10. There ___ many giraffes in the savannah.✅ c. Are(“Giraffes” jamak → are)Choose the correct one (1–10)1. On weekends, there are many children playing on the playground. ✅2. At Halloween, every American house serves lots of candy for kids. ✅(“Candy” adalah uncountable noun)3. Indonesia has many amazing mountains that we can explore every holiday. ✅4. Our graduation will be held on June 25th, 2023. ✅5. Indonesia became independent in 1945. ✅6. My younger sister accidentally spilled my coffee on house carpet. ✅(Spilled on the surface → “on” carpet)7. There is a lot of milk from the farm. ✅(“Milk” uncountable → is)8. Mark loves to compose songs when he’s alone. ✅9. My brother will tell my mom if I have a boyfriend. ✅10. Baby Monster released their new album. ✅(Kalimatnya past tense → “released”)