Factor under the radical. sqrt(72) sqrt(3^2 * 8) 3sqrt(8) 3sqrt(2^2 * 2) 6sqrt(2) check and you see that sqrt(72) and 6sqrt(2) are equivalent
2.82842712474619 or roughly 283/100 as a fraction
8 is a perfect cube; it is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer....you're thinking of 9...
It is 8*sqrt(5)
The geometric mean of two numbers is the square root of their product. 18 x 8 = 144. The square root of 144 is 12. The geometric mean of 18 and 8 is 12.
8 times the square root of 5
square root of 8*square root of *4 = 32 Sq root of 4=2 so its 2sq root 8
√16 x √8 = 4 x 2√2 = 8√2 in radical form or as a decimal = ±11.3137085
It is 24*sqrt(3).
Square roots, simplifiedWhen you are asked for a simplified square root of some number, the answer is expected to be in radical form, not in decimal form. For example, 3 radical 2 (or three square roots of two) is the simplified square root of 18.So, let's look at this one: the square root of 8.The factors of 8 are 4 and 2. (8 and 1 are also factors, but those are not helpful.) So we can say that the square root of 8 is equal to the square root of (4 times 2):SQT(8) = SQT(4 * 2)This can be written another way:SQT(8) = SQT(4) * SQT(2)Since 4 is a perfect square whose square root is 2, we can write the equation above this way:SQT(8) = 2 * SQT(2)In English, that's "The square root of 8 is 2 square roots of 2" or "The square root of 8 is 2 times the square root of 2" or "The square root of 8 is 2 radical 2."What's this radical business? Well, I can't draw the radical sign here, so I've been using the SQT(x) convention. That is equal to an x under a radical sign.By the way, 2 times the square root of 2 is 2.828, if you are wondering.
You look for a perfect square and take it out of the radical (while taking the square root of it).
8 radical 10
sqrt(8) + sqrt(18) = 2sqrt(2) + 3sqrt(2) = 5sqrt(2) in radical form 5*(1.414213562...) = 7.071067812.... in decimal form . =
2√2
±3*sqrt(5) or ±13*sqrt(5)
Oh, dude, the square root of 128 in radical form is 8√2. It's like 8 times the square root of 2, you know? So, if you're into math or just trying to impress your friends with your radical knowledge, there you go.
320 = 64(5) =8 radical 5.,,....or 8 times the square root of 5!