Assuming the calculator can do exponents, take the number and raise it to the power of 1/2.
(a) what is the prime factorization of 5184 using exponents? (b)Use the answer (a) to find the square root of 5184
The prime factorization of 10,000 is 24 x 54 The square root is 22 x 52 or 100.
Exponents, such as 2 to the 3rd power or 4 to the 4th power.
A root is like a fractional power. (x^(1/4))^(1/2) You multiply the exponents and get x^(1/8) or eighth root of x.
Assuming the calculator can do exponents, take the number and raise it to the power of 1/2.
The square root of 729 is 27 and as a product of its prime factors in exponents it is 36
(a) what is the prime factorization of 5184 using exponents? (b)Use the answer (a) to find the square root of 5184
A square root is a number raised to the exponent (power) 1/2.
yes you can. The numerator of the exponent is the normal integer type of exponent degree you are most used to seeing. The denominator of the exponent is similar to the degree of the root, as in square root, cube root, etc. Pi is of course a constant. Pi to power of 3/2, π3/2, is the same as the square root of the quantity pi cubed (which is the same as the cube of the square root of pi). Fractional exponents (rational exponents) follow the same algebra rules as integer exponents.
The prime factorization of 10,000 is 24 x 54 The square root is 22 x 52 or 100.
Exponents, such as 2 to the 3rd power or 4 to the 4th power.
First note that 84=4x21 and 4 is a perfect square. So square root of (84)=square root (4x21)=Square root (4) Square root (21)= 2 multiplied by the square root of 21. You can also write this using rational exponents, but this is not in radical form. It is an equivalent expression, however. 2 x (21)1/2
A root is like a fractional power. (x^(1/4))^(1/2) You multiply the exponents and get x^(1/8) or eighth root of x.
The cube root of the square root of π is the 6th root of π. ³√(√π) = 6√π. Using exponents, (π1/2)1/3 = π1/2 x 1/3 = π1/6
Here are some examples. x1/2 = square root of x; x1/3 = cubic root of x; in general, x1/n = nth root of x. Also, x2/3 = the square of the cubic root of x, or equivalently, the cubic root of the square of x.
The laws of exponents help you out here. We can write square root of a number n, as n^1/2 power. Now we know that raising and exponent to a powers is done according to the rule (a^b)^c=a^bc. That is two say we multiply the exponents So doing that with 1/2 each time we find that the square root of the square root of n is n^1/4 which is the 4th root of n Looks look at an example. let n=16 The square root is 4 and the square root of that is 2 So this means the 4th root of 16 must be 2, but 2x2x2x2=16 so it is! Using this, one can you 1/4 as the exponent on a calculator and find square roots of square roots. or you could just find the square root of the first number then find the square root of that... real simple.