Question

√15-5/√6-√10 сократите дробь​

Answer 1

Ответ:

Объяснение:

(√15 -5)/(√6 -√10)=(√(3·5) -5).(√(2·3) -√(2·5))=√5 ·(√3 -√5)/(√2 ·(√3 -√5))=√5/√2=√(5/2)

Answer 2

To simplify the expression:

First, we can rationalize the denominator by multiplying the numerator and denominator by the conjugate of the denominator:

(√15 - 5)/(√6 - √10) * (√6 + √10)/(√6 + √10)

Expanding the numerator and denominator, we get:

((√15)(√6) + (√15)(√10) - 5*(√6) - 5*(√10))/((√6)(√6) - (√6)(√10) + (√6)(√10) - (√10)(√10))

Simplifying the terms in the numerator and denominator, we get:

(√90 + √150 - 5√6 - 5√10)/(6 - 10)

= (-√90 - √150 + 5√6 + 5√10)/2

= (-√90 + 5√6 - √150 + 5√10)/2

Therefore, the simplified form of the expression is (-√90 + 5√6 - √150 + 5√10)/2.