Quotient Property: simplify the expression 8* sqrt 13/9
8*sqrt (13/9)= 88sqrt13 /sqrt0
= 8/3 * sqrt13
To simplify the expression 8 * sqrt(13/9), you can use the quotient property of square roots.
First, simplify the fraction inside the square root as follows:
sqrt(13/9) = sqrt(13) / sqrt(9)
The square root of 9 is 3, so we can further simplify the expression:
= sqrt(13) / 3
Now, multiply this simplified expression by 8:
8 * (sqrt(13) / 3)
To multiply a whole number by a fraction, simply multiply the whole number by the numerator of the fraction:
= (8 * sqrt(13)) / 3
Therefore, the simplified expression is (8 * sqrt(13)) / 3.