2015年7月27日 · color(green)(=10sqrt2 - Square root of a number can be simplified by prime factorising the number. Prime factorisation involves expressing a number as a product of prime numbers.

2015年9月9日 · It is sqrt(200)=sqrt(2*100)=sqrt2*sqrt(100)=10*sqrt2 and sqrt(32)=sqrt(2^5)=sqrt(2^4*2)=4*sqrt2

2015年4月21日 · What is the simplest radical form of 200? ... #sqrt200 = sqrt(4*50) = sqrt(4*25*2) = 2*5*sqrt2 = 10sqrt2# Or:

2018年5月8日 · 10sqrt2 sqrt200 =sqrt(100xx2) =sqrt100xxsqrt2 =10sqrt2. Algebra . Science ... What is the square root of 200?

2016年5月7日 · Breaking the values down into the prime factors is always possible, but sometimes a bit tedious and often unnecessary if square numbers are recognised as being factors. 200 = 100 x 2 is an obvious example. #sqrt200 - sqrt32# = #sqrt(100xx2) - sqrt(16xx2# = #10sqrt2 - 4sqrt2# = #sqrt2(10-4)# = #6sqrt2#

2017年7月3日 · How do you simplify #0.5sqrt200 - sqrt(-32)#? Algebra Radicals and Geometry Connections Addition and Subtraction of Radicals. 1 Answer

2014年11月5日 · Since 200=2cdot100=2cdot10^2, we have sqrt{200}=sqrt{2cdot10^2}=sqrt{2}cdot sqrt{10^2}=sqrt{2}cdot10=10sqrt{2}. I hope that this …

2015年5月23日 · 8 sqrt(200) = 8 sqrt(100*2) = 8 sqrt(100) sqrt(2) = 8*10sqrt(2) = 80sqrt(2) ...using sqrt(ab) = sqrt(a)sqrt(b)

2018年4月13日 · -14sqrt{2} You could try using the Fundamental Theorem of Arithmetic to express all those integers as the product of their primes. 338 = 2^1 times 13^2 200 = 2^3 times 5^2 162 = 2^1 times 3^4 What this tells us is that they all have a common factor of 2 gcd(338,200,162)=2 Since the expression contains the square root of each that means the entire expression has a factor of sqrt{2}, so we can ...

2018年5月8日 · color(blue)(10sqrt(2)~~14.14213562) Notice we can write 200 as 2xx100 So: sqrt(200)=sqrt(2xx100) sqrt(100)=10 :. sqrt(2xx100)=10sqrt(2) 10sqrt(2)~~14.14213562