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14y ago

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Is a square root commutative?

Yes, it is. sqrt(a+b)=sqrt(b+a) sqrt(a) times sqrt(b) = sqrt(b) times sqrt(a)


What is the square root of A squared B plus the square root of A B squared divided by the square root of AB?

The question is ambiguous because it could refer to [sqrt(A2B) + sqrt(AB2)]/sqrt(AB) = [A*sqrt(B) + B*sqrt(A)]/[sqrt(A)*sqrt(B)] = A/sqrt(A) + B/sqrt(B) = sqrt(A) + sqrt(B) or sqrt(A2B) + sqrt(AB2)/sqrt(AB) = A*sqrt(B) + B*sqrt(A)/[sqrt(A)*sqrt(B)] = A*sqrt(B) + B/sqrt(B) = A*sqrt(B) + sqrt(B) = sqrt(B)*(1 + A)


How To get rid of radicals in the denominator by multiplying the fraction by a helpful form of?

If there is only the radical, sqrt(b), in the denominator, the form of the fraction is sqrt(b)/sqrt(b).If the denominator is of the form a + sqrt(b) then the form of the fraction is [a - sqrt(b)]/[a - sqrt(b)].It is also possible to use [-a + sqrt(b)]/[-a + sqrt(b)], and this form may be preferred is a^2 < b.


What is the geometric mean of 9 and 30?

The geometric mean of two numbers, ( a ) and ( b ), is calculated using the formula ( \sqrt{a \times b} ). For 9 and 30, this is ( \sqrt{9 \times 30} = \sqrt{270} ). Simplifying ( \sqrt{270} ), we get ( 3\sqrt{30} ), which is approximately 16.43. Thus, the geometric mean of 9 and 30 is ( 3\sqrt{30} ) or approximately 16.43.


What is the mean proportion between 5 and 15?

The mean proportion between two numbers, ( a ) and ( b ), is calculated using the formula ( \sqrt{a \times b} ). For 5 and 15, this would be ( \sqrt{5 \times 15} = \sqrt{75} ). Simplifying ( \sqrt{75} ), we get ( 5\sqrt{3} ), which is approximately 8.66. Thus, the mean proportion between 5 and 15 is ( 5\sqrt{3} ).


What is the geometric mean of 3 and 6 using radicals?

The geometric mean of two numbers, (a) and (b), is calculated using the formula (\sqrt{a \times b}). For the numbers 3 and 6, this is (\sqrt{3 \times 6} = \sqrt{18}). This can be simplified further to (3\sqrt{2}). Thus, the geometric mean of 3 and 6 is (3\sqrt{2}).


Can the square root of a and square root of b equal the square root of A plus B?

sqrt(a)+sqrt(b) is different from sqrt(a+b) unless a=0 and/or b=0. *sqrt=square root of


What is the geometic mean between 7 and 12?

The geometric mean between two numbers, ( a ) and ( b ), is calculated using the formula ( \sqrt{a \times b} ). For 7 and 12, this would be ( \sqrt{7 \times 12} = \sqrt{84} ). Approximating ( \sqrt{84} ) gives about 9.17. Therefore, the geometric mean between 7 and 12 is approximately 9.17.


Square root 12 over b square?

Assuming the equation is sqrt (12/b2), the solution is: sqrt 12 / sqrt b2 = sqrt (4*3) / b = 2 sqrt 3 / b


How do you simplify square root of 15 divided by square root of 5?

3


What is root 2 times root 2?

The product of (\sqrt{2}) and (\sqrt{2}) is calculated as follows: (\sqrt{2} \times \sqrt{2} = \sqrt{2 \times 2} = \sqrt{4} = 2). Therefore, (\sqrt{2} \times \sqrt{2} = 2).


What is a plus b parenthetically to the second power times c plus d parenthetically divided pi taken the square root of that?

sqrt[(a + b)2*(c + d)/pi] = (a + b)*sqrt[(c + d)/pi]