sqrt(6) cannot be simplified.
The square root of 468 is approximately 21.63. This value can be found using a calculator or by simplifying the square root; specifically, √468 can be expressed as √(36 × 13), which simplifies to 6√13.
Example: The square root of 54 The square root of 54 is not an integer, since 54 is not a perfect square. The square root of 54 will be between 7 and 8, since 54 is between 49 and 64. Since 54 is closer to 49 than it is to 64, the square root will be closer to 7 than 8. I'd estimate the square root of 54 to be approximately 7.35 The actual square root is plus or minus 7.3484692 To simplify a square root, search for any factors greater than one that are perfect squares. Since 54 = 9 x 6, the square root of 54 equals the square root of 9 x 6 equals the square root of 9 times the square root of 6. The square root of 9 is 3, so the square root of 54 simplified is 3 times the square root of 6.
The square root of 6 is... 2.449489742783178 !
Square root (24) - square root (6) = 2.44948974
Square root of 6 = 2.44948 Sq root of 6 + Sq root of 6 = 2.44948 + 2.44948 = 4.89896
sqrt(54) = sqrt(9*6) = sqrt(9)*sqrt(6) = 3*sqrt(6)
√8√6 = √(8 x 6) = √48 = √(16 x 3) = √16√3 = 4√3
The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).
Example: The square root of 54 The square root of 54 is not an integer, since 54 is not a perfect square. The square root of 54 will be between 7 and 8, since 54 is between 49 and 64. Since 54 is closer to 49 than it is to 64, the square root will be closer to 7 than 8. I'd estimate the square root of 54 to be approximately 7.35 The actual square root is plus or minus 7.3484692 To simplify a square root, search for any factors greater than one that are perfect squares. Since 54 = 9 x 6, the square root of 54 equals the square root of 9 x 6 equals the square root of 9 times the square root of 6. The square root of 9 is 3, so the square root of 54 simplified is 3 times the square root of 6.
The square root of 6 is... 2.449489742783178 !
To simplify the square root of 5 times the square root of 6, you can multiply the two square roots together. This gives you the square root of (5*6), which simplifies to the square root of 30. Therefore, the simplified answer is the square root of 30.
Square root (24) - square root (6) = 2.44948974
Square root of 6 = 2.44948 Sq root of 6 + Sq root of 6 = 2.44948 + 2.44948 = 4.89896
Sure. the square root of 6 times 4 square roots of 6 is the same as the square root of 6 to the power of five which can be reduced to 6 squared times the square root of 6. The resulting answer is 36 root 6.
24 = 4*6 So sqrt(24) = sqrt(4*6) = sqrt(4)*sqrt(6) = 2*sqrt(6) [Sorry, can't do radicals here.]
The square root is 6, so the fourth root is the square root of 6, or about 2.45. ■
No. The square root of 6 is irrational.