Answer:
(3) 9+ 4√5
Step-by-step explanation:
If x = 2 + √5, then we can find x² by squaring both sides of the equation:
x = 2 + √5
x² = (2 + √5)²
Expanding the right-hand side of the equation using the formula (a + b)² = a² + 2ab + b², we get:
x² = 2² + 2(2)(√5) + (√5)²
x² = 4 + 4√5 + 5
x² = 9 + 4√5
Therefore, x² is equal to 9 + 4√5.
4 none of these
x²=(2+√5)²
(a+b)²
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Verified answer
Answer:
(3) 9+ 4√5
Step-by-step explanation:
If x = 2 + √5, then we can find x² by squaring both sides of the equation:
x = 2 + √5
x² = (2 + √5)²
Expanding the right-hand side of the equation using the formula (a + b)² = a² + 2ab + b², we get:
x² = 2² + 2(2)(√5) + (√5)²
x² = 4 + 4√5 + 5
x² = 9 + 4√5
Therefore, x² is equal to 9 + 4√5.
Answer:
4 none of these
x²=(2+√5)²
(a+b)²