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How do you rationalize the denominator in this expression 3 over quantity of 6 minus square root of 5?
Multiply the expression (fraction) by (6 + √5)/(6 + √5) (which is 1 and will not change its value).3/(6 - √5) x (6 + √5)/(6 + √5)= 3(6 + √5)/(6 - √5)(6 + √5)= 3(6 + √5)/(36-5) = 3(6 + √5)/31= 3/31(6 + √5)Remember:(a + b)(a - b) = a2 - ab + ab - b2= a2 - b2So if either a or b contains a square root, a2 and b2 will not, and so a2 - b2 will not!
What is the GCF of 4 5 6?
The GCF is 1.
What is the gcf of 2 4 5 6?
The GCF is 1.
3x2squared plus bx-5 equals 0?
3x2 + bx - 5 = 0 ∴ 3x2 + bx = 5 ∴ x2 + bx/3 = 5/3 ∴ x2 + bx/3 + (b/6)2 = 5/3 + (b/6)2 ∴ (x + b/6)2 = (45 + b2) / 36 ∴ x + b/6 = ±[(45 + b2) / 36]1/2 ∴ x = [-b ± (45 + b2)1/2] / 6
What is the GCF of 2 5 and 6?
The greatest common factor of 2, 5, and 6 is 1.
How do you rationalize the denominator in this expression 3 over quantity of 6 minus square root of 5?
Multiply the expression (fraction) by (6 + √5)/(6 + √5) (which is 1 and will not change its value).3/(6 - √5) x (6 + √5)/(6 + √5)= 3(6 + √5)/(6 - √5)(6 + √5)= 3(6 + √5)/(36-5) = 3(6 + √5)/31= 3/31(6 + √5)Remember:(a + b)(a - b) = a2 - ab + ab - b2= a2 - b2So if either a or b contains a square root, a2 and b2 will not, and so a2 - b2 will not!
Why does a plus b times a minus b work what is special about it and why does it work in questions like the root 6 plus root 5 times root 6 minus root 5 what is special about the answer?
(a + b)*(a - b) = a2 - ab + ab - b2 = a2 - b2 The expression is often referred to as DOTS = Difference Of Two Squares. What is special about it is that the answer contains only the squares of the two terms while the cross-products cancel out. So (√6 + √5)*(√6 - √5) = (√6)2 - (√5)2 = 6 - 5 = 1 The above result is used to simplify surds and, in particular, to rationalise their denominators.
What is the GCF of 4 5 6?
The GCF is 1.
What is the gcf of 2 4 5 6?
The GCF is 1.
Factor 6ab minus 6ac plus 6b squared minus 6bc?
6(ab - ac + b2 - bc)
Find the areas of the trapezoids.b1 = 4, b2 = 8, h = 2b1 = 5, b2 = 7, h = 4b1 = 5, b2 = 7, h = 4b1 = 12, b2 = 6, h = 3?
pls help me
What is the GCF of 2 5 6?
The GCF is 1.
What is the GCF of 5 and 6 and 25?
The GCF is 1.
What is the greatest common factor of 6 and 20 and 5?
The GCF of consecutive integers is 1.
What is the GCF of 6 5 4 and 16?
The GCF is 1.
What is the GCF of 6 5 9 and 20?
The GCF is 1
Can 30 plus ab plus 6b plus 5a be factored?
30 + ab + 6b + 5a = 5(a+6) + b(a+6) = (b+5)(a+6)
