Kravosaurus
Numeri reali
<p>1. How do you write in rational exponent form?</p>
<p> A. \(a^{m/n}\)</p>
<p> B. \(a^{n/m}\)</p>
<p> C. \(a^m\)</p>
<p> D. \(a^n\)</p>
<img src="https://www.mathkiss.com/uploads/kravos1.jpeg" width="300"/>
<p>2. Express in radical form?</p>
<p> A. \(\sqrt[n]{a^m}\)</p>
<p> B. \(\sqrt[m]{a^n}\)</p>
<p> C. \(\sqrt{a}\)</p>
<p> D. \(a\)</p>
<p>3. When do you say that two radicals are alike?</p>
<p> A. When their indices are the same.</p>
<p> B. When their radicands are the same.</p>
<p> C. When their integral exponents are the same.</p>
<p> D. When their indices and radicands are the same.</p>
<p>4. The product of \((\sqrt{8} + 4)(\sqrt{8} - 4)\) is __________.</p>
<p> A. \(-34\)</p>
<p> B. \(34\)</p>
<p> C. \(26\)</p>
<p> D. \(-26\)</p>
<p>5. Which of the following set of radicals can be added or subtracted?</p>
<p> A. \(\sqrt{5}, \sqrt{7}\)</p>
<p> B. \(\sqrt[3]{5}, \sqrt[3]{7}\)</p>
<p> C. \(\sqrt{5}, \sqrt{5}\)</p>
<p> D. \(\sqrt[4]{7}, \sqrt[4]{9}\)</p>
<p>6. Three of the radicals below can be expressed as similar radicals. Which of the following is NOT similar to the other given radicals?</p>
<p> A. \(\sqrt{18}\)</p>
<p> B. \(\sqrt{50}\)</p>
<p> C. \(\sqrt{32}\)</p>
<p> D. \(\sqrt{45}\)</p>
<p>7. The combined form of \(3\sqrt{5} - 4\sqrt{5} - 5\sqrt{5}\) is ________.</p>
<p> A. \(-6\sqrt{5}\)</p>
<p> B. \(-2\sqrt{5}\)</p>
<p> C. \(-5\sqrt{5}\)</p>
<p> D. \(-12\sqrt{5}\)</p>
<p>8. Divide: \(\frac{\sqrt{50}}{\sqrt{2}}\)</p>
<p> A. \(\sqrt{25}\)</p>
<p> B. \(\sqrt{5}\)</p>
<p> C. \(\sqrt{10}\)</p>
<p> D. \(\sqrt{12}\)</p>
<p>9. What is the result after simplifying \(\sqrt{48}\)?</p>
<p> A. \(4\sqrt{3}\)</p>
<p> B. \(3\sqrt{4}\)</p>
<p> C. \(2\sqrt{12}\)</p>
<p> D. \(6\sqrt{2}\)</p>
<p>10. The length of a rectangle is \(\sqrt{18}\) meters and its width is \(\sqrt{50}\) meters. Find its area.</p>
<p> A. \(30\)</p>
<p> B. \(20\sqrt{3}\)</p>
<p> C. \(15\sqrt{2}\)</p>
<p> D. \(10\sqrt{5}\)</p>
<p>11. Between what two consecutive whole numbers does \(\sqrt{35}\) lie?</p>
<p> A. 4 and 5</p>
<p> B. 6 and 7</p>
<p> C. 5 and 6</p>
<p> D. 7 and 8</p>
<p>12. Evaluate and perform the operation of \(\sqrt{75} - \sqrt{27}\).</p>
<p> A. \(2\sqrt{3}\)</p>
<p> B. \(3\sqrt{3}\)</p>
<p> C. \(\sqrt{3}\)</p>
<p> D. Already simplified</p>
<p>13. Find the perimeter of a triangle whose side lengths are 15 cm, \(8\sqrt{7}\) cm, and \(\sqrt{112}\) cm.</p>
<p> A. \(15 + 8\sqrt{7} + \sqrt{112}\)</p>
<p> B. \(23 + 9\sqrt{7}\)</p>
<p> C. \(24 + 7\sqrt{7}\)</p>
<p> D. \(30 + 6\sqrt{7}\)</p>
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