Simplify the expression (square root 100 over 49)
a. 10 over 7 **
b. 17
c. 5 over 7***
d. 20 over 7
which sum will be irrational?
a. 3+2
b. square root 19 + 7 over 2 ***
c. 18 over 3 + 11 over 10,000
d. -6 + (-3.251)
which product will be rational
_
a. 17.12 * 33 **
b. square root 3 * square root 9
c. 4 * pie
d. -sqaure 20 * 15
you are correct on all, if on number 1 you meant a
To simplify the expression sqrt(100/49), follow these steps:
Step 1: Simplify the numerator: sqrt(100) = 10
Step 2: Simplify the denominator: sqrt(49) = 7
So the simplified expression is 10/7.
Therefore, the correct answer is a. 10/7.
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To determine which sum will be irrational, follow these steps:
Step 1: Evaluate each sum.
a. 3 + 2 = 5 (rational)
b. sqrt(19) + 7/2 = irrational (because sqrt(19) is an irrational number)
c. 18/3 + 11/10000 = 6 + 0.0011 = 6.0011 (rational)
d. -6 + (-3.251) = -9.251 (rational)
Therefore, the correct answer is b. sqrt(19) + 7/2.
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To determine which product will be rational, follow these steps:
Step 1: Evaluate each product.
a. 17.12 * 33 = irrational (due to the presence of decimal values)
b. sqrt(3) * sqrt(9) = sqrt(27) = irrational (because sqrt(27) is an irrational number)
c. 4 * pi = irrational (since pi is an irrational number)
d. -sqrt(20) * 15 = -15*sqrt(20) = -15*2*sqrt(5) = -30sqrt(5) = irrational (because of the presence of square root)
Therefore, the correct answer is none of the options provided.