3 squared (3^2) equals 9.
9x5 = 45
Therefore the answer is 45.
x = 7
Restricting the discussion to real numbers for now. In this case, the square root is only defined for non-negative numbers; the principal square root of a positive number is the POSITIVE square root. For example, both +5 and -5 are square roots of 25, since both - when squared - give you 25. But the positive square root (+5) is called the principal square root, and if you write the square root symbol, that's the number usually meant.
X = 81 sqrt(X) + 3 = 12 ( subtract 3 from each side ) sqrt(X) = 9 (square both sides ) X = 81 ( the square root of 81 is 9 )
It is x*sqrt(x) or x^(3/2)
x^(3) + 125 => x^(3) + 5^(3) This factors to (x + 5)(x^(2) - 5x + 5^(2) ) or (x + 5)(x^(2) - 5x + 25) NB The clue is to spot that the constant (125) is a cubic numbers ( 5^(3)). Similarly with other 'cubic factorings'.
3 x 5 cm = area 15 square cm BUT a shape 3 x 5 is not a square, it is a rectangle. A square would either be 3 x 3 or 5 x 5 size.
3(x-5)^0.5 = 3 First divide both sides by 3 so that (3(x-5)^0.5)/3 = 3/3 (x-5)^0.5 = 1 Then square both sides ((x-5)^0.5)^2 = 1^2 (x-5)^1 = 1 x-5 = 1 Then add five to both sides x-5+5 = 1 +5 x+0 = 6 x = 6
5
There are: 5*3 = 15 square feet
-2 and -3Check:(-2) + (-3) = -5(-2)(-3) = 6Thus -2 and -3 are not the required numbers. let's find them: x + y = -6xy = -5 y = -x -6x(-x - 6) = -5-x^2 - 6x = -5x^2 + 6x = 5x^2 + 6x + 9 = 5 + 9(x + 3)^2 = 14x + 3 = (+ & -)square root of 14x = -3 (+ & -)square root of 14x = -3 + square root of 14 or x = - 3 - square root of 14y = -x - 6y = 3 - square root of 14 - 6 or y = 3 + square root of 14 - 6y = -3 - square root of 14 or y = -3 + square root of 14Check:(-3 + square root of 14) + (-3 - square root of 14) = -6(-3 + square root of 14)(-3 - square root of 14) = -5 ?(-3)^2 - (square root of 14)^2 = -5 ?9 - 14 = -5Check also tow other numbers.
You have : ----------------- 5 = ( x ) ( 3 )^1/2 x = ( 5 ) / ( 3 )^1/2 = +/- 2.887 <-----------------------
5 m x 3 m = 15m2
A factor tree tells you the prime factorization. The prime factorization can indicate a square number. Square numbers have even pairs of prime factors. 2 x 2 x 3 x 3 is a square number. 5 x 5 x 5 x 5 x 7 x 7 x 7 x 7 is a square number.
15 square feet
3 sqrt -5 = 3 x 5i = 15i; 3 sqrt 9 = 3 x 3 = 9 so full answer is 135i where i is the sqrt of -1
√(3x - 5) = 3 ∴3x - 5 = 9 ∴3x = 14 ∴x = 14/3
To find the greatest square factor of 675, we need to break down 675 into its prime factors: 3 x 3 x 3 x 5 x 5. To identify the square factors, we look for pairs of the same prime factors. In this case, we have two 3's and two 5's. Multiplying these pairs together gives us the greatest square factor of 675, which is 3 x 3 x 5 x 5 = 225.