To do this, we need rationalize the denominator. This means get rid of the radical: Multiply top and bottom by sqrt(5) 2sqrt(5)/sqrt(5) * sqrt(5)...
7sqrt(3) is broken down. sqrt(12) is not broken down. Let's find all the factors of 12 and see if we stumble on a perfect square: 1 * 12 2 * 6 3...
(Sqrt(24) + sqrt(96))/2 Simplify sqrt(24) 24 = 6 * 4 where 4 is the perfect square sqrt(24) = 2 * sqrt(6) Simplify sqrt(96) 96 = 16 * 6 where 16...
1/n^2 = 3/192 Cross multiply: 192 * 1 = 3 * n^2 3n^2 = 192 Divide each side by 3: 3n^2/3 = 192/3 Cancel the 3's on the left side: n^2 = 64...
n^2 - 1 = -99/100 Add 1 (100/100) to each side: n^2 - 1 + 1 = -99/100 + 100/100 Cancel the 1's on the left side: n^2 = 1/100 Take the square...
n^2 = 6&1/4 6&1/4 = 25/4 n^2 = 25/4 Take the square root of each side: n = 5/2 or -5/2
n^2 = 1/4 Take the square root of each side: n = 1/2
n^2 + 9 = 34 Subtract 9 from each side: n^2 + 9 - 9 = 34 - 9 n^2 = 25 Take the square root of each side: n = 5
n^2 = 64 Take the square root of each side: sqrt(n^2) = sqt(64) n = 8
Kamille is calculating the length of diagonal on a picture board and gets a solution of the square root of 58. She needs to buy the ribbon to put...
find the two square roots of 81 When we multiply 9 * 9, we get 81 When we multiply -9 * -9, we get 81 So our two square roots of 81 are: -9, 9
square root of the sum of 2 variables The phrase 2 variables means we choose 2 arbitrary variables, let's call them x and y: x, y The sum of 2...
Six is the principal square root of 36 The two square roots of 36 are: +6 -6 The positive square root is known as the principal square root,...
You and your friend are playing a number-guessing game. You ask your friend to think of a positive number, square the number, multiply the result...
The square of a number is positive N ca be positive or negative, so test both scenarios: Take a positive number n. n^2 = n^2 * n^2 or Positive *...
what two values can d have if d squared is 9 d^2 = 9 Using our calculator, we get: d = (-3, 3}
If m% of m is 36, then m is? m% = m/100, so we have: m/100 * m = 36 m^2/100 = 36 Cross multiply and we get: m^2 = 3600 We use our radical...
Each side of a square is lengthened by 3 inches . The area of this new, larger square is 25 square inches. Find the length of a side of the...
Explain the relationship between "squaring" a number and finding the "square root" of a number. Use an example to further explain your answer....
Square root of 9136 divided by 43 First, take the square root of 9136 in our calculator: 4 * sqrt(571) Now divide this by 43: 4 * sqrt(571) / 43
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