(square root of 2t^5) * (square root of 10t^4)?

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(square root of 2t^5) * (square root of 10t^4)?

simplify the expression

2007-08-12 06:40:21 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

4 answers

(2t^5)^(1/2) x (10t^4)^(1/2)
2^(1/2) t^(5/2) (10)^(1/2) (t ² )
2^(1/2) 2^(1/2) 5^(1/2) t^(9/2)
(2 √5) t^(9/2)

2007-08-16 02:23:02 · answer #1 · answered by Como 7 · 0⤊ 0⤋

(square root of 2t^5) * (square root of 10t^4)
= sqrt( 20 t^9 )
= sqrt ( 4*5 * t^8 * t^1)
= 2t^4 * sqrt( 5t)
QED

2007-08-12 06:57:18 · answer #2 · answered by harry m 6 · 0⤊ 0⤋

Try to do your own homework, you will never learn otherwise.

Basically, if you multiply the 2, you get sqrt(20t^9). Try simplifying that yourself. :)

2007-08-12 06:43:56 · answer #3 · answered by Bob R. 6 · 0⤊ 0⤋

t^4*square root(20t)

2007-08-12 06:46:21 · answer #4 · answered by Joe stevens 2 · 0⤊ 1⤋