Answer:
1. y² = 169
taking a square root of both sides
y = √169
we know that 13 * 13 = 169
since when squaring a number, the signs on the numbers do not matter
(i.e - 2* 2 = 4 and (-2)*(-2) = 4)
So (-13) * (-13) = 169 as well
Hence we can say that √169 = ±13 OR √169 = +13 and -13
2. Volume of a cube-shaped crate = side*side*side
Volume = side³
(We are given that volume = 27)
27 = side³
side = ∛27
Since 3*3*3 = 27 and (-3)*(-3)*(-3) = 27
So, we can say that ∛27 = ± 3
BUT
the side of a crate cannot be negative, so the side will NOT be -3 and hence,
side = 3
3. b³ = 1000
we know that 10*10*10 = 1000 and (-10)*(-10)*(-10) = 1000
So, ∛1000 = ∛(10*10*10)= ±10
4. Area of a square(Patio) = Side²
Area = Side²
196 = Side² (Since we are given the area of the patio)
Side = √196 = √(14*14) or √(-14*-14)
Hence,
Side = + 14 or -14
but the side of a patio cannot be negative
Side = +14 ft
