please do this sum.
Answers
Answer:
I was unable to solve Que. 14 b part... rest are correct... please mark brainliest
Step-by-step explanation:
14 a. 11^ 1/2 / 11^1/4
⇒ 11^ 1/2 ÷ 11^1/4
a^m ÷ a^n = a^m-n - Law of exponent.
= 11^ 1/2 +1/4
= 11^ 2/4 - 1/4 [ after finding LCM]
= 11^ 2-1/4
= 11^ 1/4
14 b. √45 - 3√20 + 4√5
= √9x5 - 3√4x5 + 4√5 [ writing in simplest form ]
= √9 x√5 - 3√4 x√5 + 4√5
= 3 x√5 - 3(2)x√5 + 4√5
= 3√5 -6√5 +4√5
= (3-6+4)√5
= (7-6)√5
= 1√5
=√5
15. (√5+√2)²
(a+b)² = a²+b²+2ab
Here, a= √5 ; b=√2
= (√5)² + (√2)² + 2(√5)(√2)
= 5 + 2 + 2(√5x√2)
= 7 + 2√10
16. It is given that,
AB = AC
∴ ∠C = ∠B (Angles opposite to equal sides are also equal)
Let ∠B = ∠C = x
In ΔABC,
∠A + ∠B + ∠C = 180° (Angle sum property of a triangle)
90°+ x + x = 180°
90°+ 2x = 180°
2x = 90°
x = 45°
∴ ∠B = ∠C = 45°
Hope it is helpful. Take care.