Question

Звільніться від ірраціональності в знаменнику дробу 8/(√10-√2) помогите плиз

Answer 1

Ответ:

Надеюсь все видно, и понятно)) если что пишите

Answer 2

Simplifying the Denominator of the Fraction 8/(√10-√2)

To simplify the denominator of the fraction 8/(√10-√2), we can use a technique called rationalizing the denominator. This involves multiplying the numerator and denominator by a cleverly chosen form of 1 to eliminate the radical from the denominator.

Rationalizing the Denominator

To rationalize the denominator of the fraction 8/(√10-√2), we can use the conjugate of the denominator, which is (√10+√2).

Applying the Conjugate

By multiplying both the numerator and the denominator by the conjugate of the denominator, we can eliminate the radical from the denominator.

The conjugate of (√10-√2) is (√10+√2). Therefore, we can multiply the fraction by (√10+√2)/(√10+√2), which is essentially multiplying by 1 and will not change the value of the fraction.

Calculation

Let's perform the calculation:

8/(√10-√2) * (√10+√2)/(√10+√2)

This simplifies to:

8(√10+√2)/(√10-√2)(√10+√2)

Expanding the denominator:

8(√10+√2)/(10-2)

This further simplifies to:

8(√10+√2)/8

Finally, the 8 in the numerator and the 8 in the denominator cancel out, leaving us with:

√10+√2

So, the simplified form of the fraction 8/(√10-√2) is √10+√2.