Advertisements
Advertisements
Question
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)`
Advertisements
Solution
`sqrt(40) - sqrt(20) = sqrt(4xx 10) - sqrt(4 xx 5)`
= `2sqrt(10) - 2sqrt(5)`
= 2 × 3.162 – 2 × 2.236
= 6.324 – 4.472
= 1.852
APPEARS IN
RELATED QUESTIONS
Simplify.
`5 sqrt 3 + 8 sqrt 3`
Simplify.
`9 sqrt 5 - 4 sqrt 5 + sqrt 125`
Simplify.
`7 sqrt 48 - sqrt 27 - 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.
`3sqrt 12 xx 7 sqrt 15`
Divide and write the answer in simplest form.
`sqrt98 ÷ sqrt 2`
Divide and write the answer in simplest form.
`sqrt 54 ÷ sqrt 27`
Simplify.
`4/7 sqrt 147 + 3/8 sqrt 192 - 1/5 sqrt 75`
Simplify.
`2 sqrt 48 - sqrt 75 - 1/ sqrt 3`
Simplify the following using multiplication and division properties of surds:
`root(3)(27) xx root(3)(8) xx root(3)(125)`
