how would you simplify this equation:
y = (x+3)/[(4-sqrt(16+h))]
please help me!
you have three variables. I am not certain "simplify" is an appropriate term here.
ohhhh it was my mistake. I meant:
y = h/[(4-sqrt(16+h))]
y = h/[(4-sqrt(16+h))]
rationalize the denominator..
y = h/[(4-sqrt(16+h))] *(4+sqrt(16+h)/(4+sqrt(16+h)
y=h(4+sqrt(16+h)/(16-16-h)
you finish it. check my work.
To simplify the equation y = h/[(4-sqrt(16+h))], you want to rationalize the denominator.
1. Start by multiplying the numerator and denominator by the conjugate of the denominator, which is (4+sqrt(16+h)).
y = h * (4+sqrt(16+h))/[(4-sqrt(16+h))] * (4+sqrt(16+h))/(4+sqrt(16+h))
2. Next, simplify the numerator by distributing h to both terms in the parentheses.
y = (4h + h*sqrt(16+h))/[(4-sqrt(16+h))] * (4+sqrt(16+h))/(4+sqrt(16+h))
3. Multiply the denominators using the distributive property.
y = (4h + h*sqrt(16+h))/(16 - (16+h))
4. Simplify the denominator by combining like terms.
y = (4h + h*sqrt(16+h))/((-h))
5. Finally, cancel out the -h in the denominator with the h in the numerator.
y = -4 - sqrt(16+h)
So, the simplified form of the equation is y = -4 - sqrt(16+h).