근호를 포함한 식의 계산 연습문제 — OpenStax Elementary Algebra · 9.5절 · 13번

OpenStax Elementary Algebra · 9.5절 · 13번우리말 번역

간단히 하세요: $\frac{\sqrt{3}}{\sqrt{u}-\sqrt{6}}$ .

영어 원문 보기

Simplify: $\frac{\sqrt{3}}{\sqrt{u}-\sqrt{6}}$ .

정답·풀이 보기

원본 교재 풀이(영어)


	$A mathematical expression showing a fraction with the square root of 3 in the numerator and the square root of u minus the square root of 6 in the denominator.$
Multiply the numerator and denominator by the conjugate of the denominator.	$A fraction with a square root of three times the quantity of the square root of u plus the square root of six in the numerator. The denominator is the product of the quantity of the square root of u minus the square root of six and the quantity of the square root of u plus the square root of six.$
Multiply the conjugates in the denominator.	$A mathematical expression showing the fraction: square root of 3 multiplied by the sum of square root of 'u' and square root of 6, all divided by 'u' minus 6.$
Simplify the denominator.	$A fraction with a numerator of 'square root 3 times the quantity square root u plus square root 6' and a denominator of 'u minus 6'.$

한 번 더 — 비슷한 문제OpenStax Intermediate Algebra · 8.5절 · 17번우리말 번역

항이 하나인 분모의 유리화

다음 문제에서 분모를 유리화하세요.

ⓐ $\frac{6}{\sqrt{7}}$ ⓑ $\sqrt{\frac{8}{45}}$ ⓒ $\frac{12}{\sqrt{3p}}$

답 쓰고 채점

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