See explanation. sqrt(50)+sqrt(8)=sqrt(2*25)+sqrt(2*4)=5sqrt(2)+2sqrt(2)=7sqrt(2)
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8sqrt(2) Recall the multiplicative property of square root for positive a and b: sqrt(a*b) = sqrt(a) * sqrt(b) Using this rule, we can write sqrt(50)=sqrt(25*2)=sqrt(25)*sqrt(2)=5sqrt(2) analogously, sqrt(18)=sqrt(9*2)=sqrt(9)*sqrt(2)=3sqrt(2) Adding them together and using the distributive law, we have sqrt(50)+sqrt(18)=5sqrt(2)+3sqrt(2)=8sqrt(2)
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The square root of #50# is not a whole number, or even a rational number. It is an irrational number, but you can simplify it or find rational approximations for it. First note that #50 = 2 xx 5 xx 5# contains a square factor #5^2#. We can use this to simplify the square root: #sqrt(50) = sqrt(5^2*2) = sqrt(5^2)*sqrt(2) = 5 sqrt(2)#
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11sqrt2 >"using the"color(blue)"law of radicals" •color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)"simplifying each radical" sqrt72=sqrt(36xx2)=sqrt36xxsqrt2=6sqrt2 sqrt50 ...
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The primary square root of 50 is 5sqrt(2) (Note that both +5sqrt(2) and -5sqrt(2) are square roots of 50 ...
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Explanation: √50. We can simplify the expression by prime factorisation: ( expressing a number as a product of its prime factors) √50 = √2 ⋅ 5 ⋅ 5 = √2 ⋅ 52. = 5√2. Answer link.
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1 Answer. Aviv S. Mar 13, 2018. √50 is between 7 and 8. Explanation: We can list out some of the squares and square roots that we know (I'll start from 5): 5 √25 6 √36 7 √49 8 √64 9 √81. We can see that √50 would lie in between √49 and √64, so that means that √50 is between 7 and 8. Using a calculator, we can validate this:
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You can simplify sqrt(50)+sqrt(2) = 6sqrt(2) If a, b >= 0 then sqrt(ab) = sqrt(a)sqrt(b) and sqrt(a^2) = a So: sqrt(50)+sqrt(2) = sqrt(5^2*2)+sqrt(2) = sqrt(5^2)sqrt(2) + sqrt(2) = 5sqrt(2)+1sqrt(2) = (5+1)sqrt(2) = 6sqrt(2) In general you can try to simplify sqrt(n) by factorising n to identify square factors. Then you can move the square roots of those square factors out from under the ...
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We have the following: √50 + √32. The blue expression can be rewritten as. √25 ⋅ 2 = 5√2. and the green expression can be rewritten as. √16 ⋅ 2 = 4√2. Now, we have the following: 5√2 + 4√2. Both terms have a √2 in common, so we can factor that out.
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sqrt50=5sqrt2 Let us try to take the square root of 50, by factorizing sqrt50 = sqrt(2xxul(5xx5)) As 5 occurs twice, we can take it out and we get 5sqrt2
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