근호를 포함한 식의 계산 연습문제 — OpenStax Intermediate Algebra · 8.5절 · 8번

OpenStax Intermediate Algebra · 8.5절 · 8번우리말 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)


	$A mathematical expression showing the fraction with square root of 3 as the numerator and the difference of square root of u and square root of 6 as the denominator.$
Multiply the numerator and denominator by the conjugate of the denominator.	$A mathematical fraction with a numerator of sqrt(3)(sqrt(u)+sqrt(6)) and a denominator of (sqrt(u)-sqrt(6))(sqrt(u)+sqrt(6)), highlighting the (sqrt(u)+sqrt(6)) term in red.$
Multiply the conjugates in the denominator.	$A fraction with sqrt(3)(sqrt(u)+sqrt(6)) in the numerator and (sqrt(u))^2-(sqrt(6))^2 in the denominator, illustrating a rationalization process.$
Simplify the denominator.	$A mathematical expression showing the fraction sqrt(3)(sqrt(u) + sqrt(6)) over (u - 6).$

한 번 더 — 비슷한 문제OpenStax Elementary Algebra · 9.4절 · 2번우리말 번역

간단히 하세요: $6(12-7n)$ .

답 쓰고 채점

다 풀었으면 정답 확인

$72-42n$