Question

factorisation:- ✓2x^2+3x+✓2​

Answer 1

ANSWER:

• The Factorisation of above expression is (x+√2)(√2x+1)

GIVEN:

• √2x²+3x+√2

TO FIND:

• Factorise the above expression.

SOLUTION:

= √2x²+3x+√2

= √2x²+2x+x+√2

= (√2x²+2x)+(x+√2)

= √2x(x+√2)+1(x+√2)

= (x+√2)(√2x+1)

If the question ask to find the value of x then:

=> (x+√2)(√2x+1)=0

Either (x+√2) = 0

=> x = (-√2)

Either (√2x+1) = 0

=> √2x+1 = 0

=> √2x = (-1)

=> x = (-1)/√2

NOTE:

some important formulas

• (a+b)² = a²+b²+2ab
• (a-b)² = a²+b²-2ab
• (a+b)(a-b) = a²-b²