Exponents and radicals questions | form two Basic Mathematics

Simplify ^√5/_{(√11 + √5)} by rationalizing the denominator.

Answer / Solution

Given ^√5/_{(√11 + √5)}
By rationalizing the denominator
^√5/_{(√11 + √5)} × _{^{(√11 - √5)}}/_{(√11 - √5)} = ^{(√55 -5)}/_{11 - 5}.
∴^√5/_{(√11 + √5)} = ^{(√55 -5)}/₆.

Make the subject l from the formula T = 2π√(^l/g)

Answer / Solution

Given the formula T = 2π√(^l/g)
Required to make l the subject.
Divide by 2π both sides
We get ^T/_2π = √(^l/_g).
Square both sides
(^T/_2π)² = ^l/_g
⇒ ^T2/_4π² = ^l/_g.
Multiply by g both sides.
[^T2/_4π²] × g = l ⇒ ∴ l = [^T2/_4π²] g

Simplify the following

• 3√8 + √64
• ^{(√2 + √3)} / _{(√3 - √2)} ÷ ^{(√2 + √3)}  / _{(√3 - √2)}

Answer / Solution

UNSOLVED

Make f the subject of the from

Answer / Solution

UNSOLVED

Make Q the subject of the following formula:

Answer / Solution

UNSOLVED