Question

Сократить дробь 7+√7:√7

Answer 1

7
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Answer 2

7^1/2*(7^1/2+1) / 7^1/2= 7^1/2+1. ^-это корень квадратный.

Answer 3

To simplify the fraction (7 + √7) / √7, we need to rationalize the denominator. Rationalizing the denominator means removing the square root from the denominator by multiplying both the numerator and denominator by the conjugate of the denominator.

The conjugate of √7 is (-√7). So, we'll multiply both the numerator and denominator by (-√7):

(7 + √7) / √7 * (-√7) / (-√7)

Now, let's simplify the expression:

= (7 + √7) * (-√7) / (√7 * (-√7)) = (-7√7 - 7) / (-√7 * √7) = (-7√7 - 7) / (-√(7 * 7)) = (-7√7 - 7) / (-√49) = (-7√7 - 7) / (-7) = (7√7 + 7) / 7

So, the simplified form of the fraction is (7√7 + 7) / 7.