2006-11-28 07:02:10 · 14 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The answer is 10
Multiply 5 times 20 and take the square root of that.
Multiplication and Square Roots can be done in either order.
2006-11-28 07:06:34 · answer #1 · answered by Aggie80 5 · 1⤊ 0⤋
The actual method to find a square root is an iterative process. Make a guess (eg a quarter of the number if it's smallish or half the number of zeros if it's big). Call the guess estimate 'E', the original number 'N' and the result 'R'. 1: R = N / E [divide the number by the estimate & call the result R]. 2: E = (E + R) / 2 [Add the estimate and result, divide by two, call that the new estimate]. 3: Repeat these two until E is does not change; that's the square root. You can do the division as integers or approximations until two successive 'Es' get fairly close, then use long division to get it unchanging down to however many digits accuracy you need. 64 e = 16 1: 64 / 16 = 4 2: (16+4) / 2 = 10 e = 10 1: 64 / 10 = 6.4 2: (10 + 6.4) / 2 = 8.2 e = 8.2 1: 64 / 8.2 = 7.8 2: (8.2 + 7.8) / 2 = 8 e = 8 [OK, we know this is correct, but for a large number you need to carry on & prove it] 1: 64 / 8 = 8 2 (8 + 8) / 2 = 8 e is unchanged, this is the square root.
2016-03-28 23:00:21 · answer #2 · answered by ? 4 · 0⤊ 0⤋
5 times 20 =100 square root of 100 is 10
2006-11-28 07:05:14 · answer #3 · answered by dwh12345 5 · 3⤊ 0⤋
first you can split square root of 20 into 2xroot 5. if you multiply this by root 5, the two root 5s cancel out leaving 2x5. so the answer is 10
2006-11-29 04:07:31 · answer #4 · answered by Anonymous · 1⤊ 0⤋
surds! root 5 x root 20 = root 100 = 10
2006-11-28 07:56:07 · answer #5 · answered by fluffypurplealien 2 · 1⤊ 0⤋
5^1/2 * 20^1/2 = (5*20)^1/2 = (5*5*2*2)^1/2 = 5*2 = 10
2006-11-28 07:14:34 · answer #6 · answered by smokey_cartoon 2 · 1⤊ 0⤋
you can do it by first finding the product of 5 and 20 i.e. 100 and then finding simply the square root of 100.The answer will be equal to 10.
rt.5 * rt.20= rt.100=10.
2006-11-28 07:39:59 · answer #7 · answered by balwinder s 1 · 1⤊ 0⤋
5^1/2 * 20^1/2 = (5*20)^1/2 = (5*5*2*2)^1/2 = 5*2 = 10
2006-11-28 07:05:06 · answer #8 · answered by pv845 2 · 3⤊ 0⤋
(√5)(√20) --- Since 20 can be 5 * 4...
(√5)(√5)(√4) --- (√5)² = 5 and (√4) = 2...
(5)(2) = 10
2006-11-28 07:11:08 · answer #9 · answered by Anonymous · 1⤊ 0⤋
sqrt5 * sqrt20,
sqrt 20 = sqrt 4*5 = sqrt4*sqrt5
so
sqrt 5 * sqrt 5 * sqrt4
sqrt5 * sqrt5 = 5 sqrt4 = 2
5*2 = 10
2006-11-28 07:08:57 · answer #10 · answered by beanie_boy_007 3 · 2⤊ 0⤋