Advertisements
Advertisements
Question
Divide and write the answer in simplest form.
`sqrt 125 ÷ sqrt 50`
Advertisements
Solution
`sqrt 125 ÷ sqrt 50`
= `sqrt125/sqrt50`
= `sqrt(125/50)`
= `sqrt((5 xx 25)/(2 xx 25))`
= `sqrt(5/2)`
APPEARS IN
RELATED QUESTIONS
Simplify.
`5 sqrt 3 + 8 sqrt 3`
Multiply and write the answer in the simplest form.
`3 sqrt 12 xx sqrt 18`
Multiply and write the answer in the simplest form.
`3sqrt8 xx sqrt5`
Multiply and write the answer in the simplest form.
`5 sqrt 8 xx 2 sqrt 8`
Divide and write the answer in simplest form.
`sqrt 310 ÷ sqrt 5`
Simplify.
`4/7 sqrt 147 + 3/8 sqrt 192 - 1/5 sqrt 75`
Simplify.
`5sqrt 3 + 2 sqrt 27 +1/sqrt3`
Simplify.
`2 sqrt 48 - sqrt 75 - 1/ sqrt 3`
Simplify the following using addition and subtraction properties of surds:
`4root(3)(5) + 2root(3)(5) - 3root(3)(5)`
Simplify the following using multiplication and division properties of surds:
`sqrt(35) ÷ sqrt(7)`
Simplify the following using multiplication and division properties of surds:
`(7sqrt("a") - 5sqrt("b")) (7sqrt("a") + 5sqrt("b"))`
Simplify the following using multiplication and division properties of surds:
`[sqrt(225/729) - sqrt(25/144)] ÷ sqrt(16/81)`
If `sqrt(2)` = 1.414, `sqrt(3)` = 1.732, `sqrt(5)` = 2.236, `sqrt(10)` = 3.162, then find the values of the following correct to 3 places of decimals.
`sqrt(40) - sqrt(20)`
Which of the following statement is false?
`4sqrt(7) xx 2sqrt(3)` =
`(0.000729)^((-3)/4) xx (0.09)^((-3)/4)` = ______
