Complete this statement: square root of 2 time square root of five = square root of 10 “ because...
2007-08-10 18:45:05 · 3 answers · asked by dbferguson2818 1 in Science & Mathematics ➔ Mathematics
2 = √4
3 = √9
2*3 = 6
4*9 = 36
√36 = 6 = 2*3 = √4√9
Generalizing,
a = √(a^2)
b = √(b^2)
ab = √(a^2b^2) = √(a^2)√(b^2)
Substituting m for a^2 and n for b^2,
√mn = √m√n
2007-08-10 19:20:02 · answer #1 · answered by Helmut 7 · 0⤊ 0⤋
you are able to desire to simplify sq. root 20 into 2 sq. root of 5 and sq. root of 8 into 2 sq. root of two subsequently, you are able to desire to ingredient out 2, which leaves 2(sq. root of 5 + sq. root of two)^2 by simplifying further, 2(5+2square root of 5 * sq. root of two + 2) 2(7+ 2 sq. root of 10) subsequently the impressive answer could be: 14+ 4square root of 10
2016-10-14 22:57:42 · answer #2 · answered by ? 4 · 0⤊ 0⤋
m^(1/2) x n^(1/2) = (mn)^(1/2)
2007-08-10 18:52:31 · answer #3 · answered by pigley 4 · 0⤊ 0⤋