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Q: What is the square root of 2 to the second power?

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8 divided by 2 = 4 4 to the second power (42) = 16 The square root of 16 = 4

square root of 4=2 and 2^2=4 one way to see this without doing that is to know that for any number, call it a, square root of a can be written as a1/2 and then if we square that and use the rules of exponents we have (a(1/2) )2 =a

The square root of 2 to the power of 10 = 32

Two to the power 8 (28) is 256 The square root of 256 is 16. When you take the square root of a number raised to a power y, divide that power by 2 (y/2) and that gives the square root. So the square root of 28 = 28/2 = 24 = 16

The square root is nearly the inverse operation of squaring or raising to the second power. Nearly but not quite! So sqrt(682) = Â±68

12... 12 to the power 2 is 144. the square root of 144 is 12

16 to the power (1/2) is the same as the square root of 16 - that is, 4.16 to the power (1/2) is the same as the square root of 16 - that is, 4.16 to the power (1/2) is the same as the square root of 16 - that is, 4.16 to the power (1/2) is the same as the square root of 16 - that is, 4.

The square root of 2 raised to the fifth power equals 5.65685424949

ok lets let x=4. The square root of 4 to the 2nd power + 4= 8. The square root and power of 2 cancel out? Is that what you mean?

A square root is a number raised to the exponent (power) 1/2.

36

Something to the power of 1/2 is the same as the square root of a number so 25 to the power of a 1/2 = the square root of 25 = 5

The square root of 16n to the power of two, (√16n)2 is just simply 16n. Any number or monomial that is squared after the square root is taken is just the number itself, since squaring is the inverse property of taking the square root of something.

(y2/81)1/2 = y/9

2x2 = 228 divide both sides by 2 x2 = 114 x = ±√114 by the square root property

The square root of the square root of 2

There are two square roots of i: (-1/square root 2)(1+i) and (1/square root 2)(1+i) so these are i to the one half power. Now to find -i to the one half power, multiply either of these by i, since i2 is -1. So (-i/square root 2)(1+i) and (i/square root 2)(1+i) are the square roots of -i. Verify this by direct multiplication.

12

You divide the exponent by 2 The square root of a number is that number to the 1/2 power So for examle square root of x cubed (x^3) is x^3 to the half power =x^3/2 (x to the 3/2 power)

Raising to the one half (1/2) power is the same as taking the square root.

If T2 = 78, then T = 78(1/2) or the square root of 78, or about 8.83.

In absence of the square root sign, you can write out the square root of expression x using the power form, x1/2 (that's x to the power of one over two).

square root 2 times square root 3 times square root 8

Since the root is in the denominator of the exponent, just divide the 5 by the square root value (2), so the solution is x5/2.

It can be an exponent (if you find it after your number) or a root (if you find it in the bend of the square root sign. In the square root sign that goes over a number, if there is nothing in the bend (or the "V") of the sign, then the sign indicates the square root of the number under the "roof" of the sign. If there IS a number in the "V", for instance 3, it means the cube root of the number under the roof; a 4 in the V means the fourth root, and so on. Think of a number under the roof of the square root sign as yielding the opposite value from the same number with an exponent of 2. If you put a number with an exponent of 2 under a square root sign, the result will be your original number: in other words, the square root of 2 squared is 2. If you want to express a square root without the square root sign, you could simply give your number an exponent of the RECIPROCAL of two (e.g. 9-1/2), which equals 3. In words, this means nine to the one-half power equals the square root of nine, equals 3.x2 -- the 2 is called a subscript which here means the second value of x, usually after being changed by a function, or perhaps it indicates the second value of x that will be used in your calculationx2 -- the 2 is called a superscript (or "power") which here means x to the second power (x squared).