Question
If a = 0.1039, then the value of $$\sqrt {4{a^2} - 4a + 1} + 3a$$ is:
Answer: Option C
$$\eqalign{
& \sqrt {4{a^2} - 4a + 1} + 3a \cr
& = \sqrt {{{\left( 1 \right)}^2} + {{\left( {2a} \right)}^2} - 2 \times 1 \times 2a} + 3a \cr
& = \sqrt {{{\left( {1 - 2a} \right)}^2}} + 3a \cr
& = \left( {1 - 2a} \right) + 3a \cr
& = \left( {1 + a} \right) \cr
& = \left( {1 + 0.1039} \right) \cr
& = 1.1039 \cr} $$
Was this answer helpful ?
$$\eqalign{
& \sqrt {4{a^2} - 4a + 1} + 3a \cr
& = \sqrt {{{\left( 1 \right)}^2} + {{\left( {2a} \right)}^2} - 2 \times 1 \times 2a} + 3a \cr
& = \sqrt {{{\left( {1 - 2a} \right)}^2}} + 3a \cr
& = \left( {1 - 2a} \right) + 3a \cr
& = \left( {1 + a} \right) \cr
& = \left( {1 + 0.1039} \right) \cr
& = 1.1039 \cr} $$
Was this answer helpful ?
More Questions on This Topic :
Question 1. If **Hidden Equation** is?
Question 4. If **Hidden Equation** is equal to :
Question 5. **Hidden Equation** is equal to :
Question 6. **Hidden Equation** ....
Question 8. $$\sqrt {0.0169 \times ?} = 1.3$$....
Question 9. The square root of 64009 is:....
Question 10. The square root of 41209 is equal to = ?....
Latest Videos
Latest Test Papers
Submit Solution