How can we simplify sqrt(48) - 6/sqrt(3) ?
Observing that 48 = 24 * 2 = 1222 = 443, we can write square root of 48 as being square root of 443, which means that sqrt(48) = 22sqrt(3).Now, we can multiply the new result 22sqrt(3) with sqrt(3) such that we can have a common denominator on the bottom.So, 22sqrt(3)sqrt(3)/sqrt(3) - 6/sqrt(3) = (22*3 - 6)/sqrt(3) = 6/sqrt(3).If we want our answer to look prettier, we can multiply again with sqrt(3) such that the new result could look as 6 * sqrt(3) /3 = 2sqrt(3).
DG
Related Maths A Level answers
All answers ▸A and B have coordinates (2,3) and (5,15), respectively. Together they form line l. Find the equation for the line r that goes through C(7,-2) and is perpendicular to l. Give the answer in the format of y=mx+b
Find the equation of the tangent to the curve y=x^3-4x^2+2 at the point (3,-7)
Find the values of k for which the equation (2k-3)x^2-kx+(k-1) has equal roots
How do I differentiate something of the form a^x?