A) √50 = √(25 x 2) =√(5² x 2) = 5√2, what Jacklyn did is the other way round, instead of putting the perfect square out of the radical & keep the 2 inside, she inversed the sens of the operation
b) We have to find the square of the smaller & largest numbers that are near 50:
7² = 49 & 8² = 64==> so 49<50<64 & the number is between the square root of 7 & the square root of 8, but we also notice that 50 is very very near 49, hence let's try 7.1==> 7² = 7.1 x 7.1 = 50.41, which is a very good approximation. Then the approx. to √50 ≈ 50.41
Answer:
Step-by-step explanation:
12981 to the nearest thousand
2 is in the the thousands place
to the right of 2 is 9 and it is higher than 5
that means 2 becomes a 3 and the hundreds, tens and ones are zeros
13,000
You can simplify the right side. Then, you need to take cube roots.
(m -4)³ = 1/(1/8) . . . rule of exponents
(m -4)³ = 8 . . . . . . .simplify
m -4 = ∛8 . . . . . . . take cube roots
m -4 = 2 . . . . . . . . use your calculator or knowledge to find ∛8
m = 6 . . . . . . . . . . add 4
The solution is m = 6.
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If you subtract the right side, you get a function of m that is zero when m has the right value. This graph shows that value is m = 6.
B i hope it helps if not sorry