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What is the exact value for the expression the square root of 171. - the square root of 19. + the square root of 76.? Simplify if possible. 8 the square root of 57. the square root of 19. 2 the square root of 57. 4 the square root of 19.
4 * sqrt(19)
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171, 19 and 76 all have a GCF of 19, 171/19 = 9 19/19 = 1 76/19 = 4 Now we can conclude: 9 x 19 = 171 1 x 19 = 19 4 x 19 = 76 Now we know ab−−√=a√×b√ So (9)×19−−−−−−−√=171 (1)×19−−−−−−−√=19 (4)×19−−−−−−−√=76 Now seperate the square root, so it is sqrt(a) x sqrt(b) Take the square root of the perfect square...(in brackets) so we get 319−−√ 119−−√ 219−−√ Add/Subtract with the appropriate sign... We get 419
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