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Square roots/fractions & squaring binomials?
Simplify these square root/fractions c:
sq.r 11/4
sq. r 200/60
sq. r 5/9
sq. r 75/ 20
Squaring binomials
(m + h)^2
(3x-2)^2
(7y+2)^2
Thanks!! :D
1 Answer
- 10 years agoFavorite Answer
1. sqrt(11/4) = ( sqrt (11) ) / 2
2. sqrt (200/60)
= ( sqrt (2*100) ) / ( sqrt(4*15) )
= ( 10 sqrt (2) ) / ( 2 sqrt(15) )
= ( 10 sqrt(30) ) / (2*15) by multiplying by sqrt(15) / sqrt(15)
= ( 10 sqrt(30) ) / 30
= ( sqrt(30) ) / 3
3. sqrt(5/9) = ( sqrt(5) ) / 3
4. sqrt(75/20)
= ( sqrt(25*3) ) / ( sqrt(4*5) )
= ( 5 sqrt(3) ) / ( 2 sqrt(5) )
= ( 5 sqrt(15) ) / (2*5) by multiplying by ( sqrt(5) ) / ( sqrt(5) )
= ( sqrt(15) ) / 2
5. (m+h)^2 = m^2 + 2mh + h^2
6. (3x-2)^2 = 9x^2 - 3x(2) - 3x(2) + 4
= 9x^2 - 6x - 6x + 4
= 9x^2 - 12x + 4
7. (7y + 2)^2 = 7y(7y) + (7y)(2) + (7y)(2) + 2*2
= 49y^2 + 14y + 14y + 4
= 49y^2 + 28y + 4
