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Simplify the square root of 512?
The idea is to take out perfect squares. The largest perfect square in this case is 256, which is the square of 16 (if you have trouble figuring this out, you can take out a smaller perfect square first, and then see if you find additional perfect squares). In any case, the end result should not have a factor that is a perfect square. Using the symbol "root()" for square root: root(512) = root(256 x 2) = root(256) x root(2) = 16 root(2)
Is the square root of 6 rational?
No; you can prove the square root of any positive number that's not a perfect square is irrational, using a similar method to showing the square root of 2 is irrational.
What is the simplest radical from of the square root of 84?
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
What is factored form?
the form of an expression compossed of products of factors, rather than sums or differences of terms. the expressions x(x-2) and (x+3)(x+4) are in factored form. y=(x-2)(x+5), or factored form, is an equation that describes a parabola. Once factored, using a FOIL method, it becomes standard form. y=(x-2)(x+5) y=x^2+5x-2x-10 y=x^2+3x-10
How do you find the square root of 900 using a factor tree?
The square root of 900 is 30 and it is a factor of 900
Can x2 1 be factored?
1
Why is a number a perfect square?
you can multiply two whole numbers together to get that. if you use graph paper, you could make a perfect square. the area of that square is called a perfect square because you can make a perfect square using that many units as the area. for example 4x4=16, so 16 would be the perfect square.
What is a sentence using the word factored?
We factored many suggestions into the equation.
What is the perfect square of 4 using the power 2?
16
Is - 81 a perfect square?
No negative number can be a square. (At least not using the kind of numbers you've learned to use so far.)
How do you convert standard form to factored form?
You can convert standard form to factored form by using a factoring tree to convert to the long-form factored format. You can also work backwards to convert from factored to standard form.
Is 42 a square number using perfect squares?
No. The two closest squares are 49 and 36. The square root of 49 being 7 and the square root of 36 being 6. you can conclude that the square root of 42 isn't a perfect square, but it's square root is between 7 and 6.
Simplify the square root of 512?
The idea is to take out perfect squares. The largest perfect square in this case is 256, which is the square of 16 (if you have trouble figuring this out, you can take out a smaller perfect square first, and then see if you find additional perfect squares). In any case, the end result should not have a factor that is a perfect square. Using the symbol "root()" for square root: root(512) = root(256 x 2) = root(256) x root(2) = 16 root(2)
Which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring?
Here are two ways to know if a given quadratic equations can be factored (can be solved by factoring). 1. Calculate the Discriminant D = b^2 - 4ac. When D is a perfect square (its square root is a whole number), then the given equation can be factored. 2. Solve the equation by using the new Diagonal Sum method (Amazon e-book 2010). This method directly finds the 2 real roots without having to factor the equation. Solving usually requires fewer than 3 trials. If this method fails to get the answer, then we can conclude that the equation can not be factored, and consequently the quadratic formula must be used.
What is the largest perfect square you can make using 27 feet of string?
5 ft by 5 ft
Is the square root of 6 rational?
No; you can prove the square root of any positive number that's not a perfect square is irrational, using a similar method to showing the square root of 2 is irrational.
Is it OK to use the quadratic formula if the given quadratic trinomial is not factorable?
Well, if the given quadratic equation cannot be factored, nor completed by the square, try using the quadratic formula.
