Unit’s digit in (1570)² = 0
Unit’s digit in (1571)² = 1
Unit’s digit in (1572)² = 4
Unit’s digit in (1573)² = 9
∴  Required unit’s digit
= Unit’s digit in (0 +1 + 4 + 9) = 4

Correct Option: A

Unit’s digit in (1570)² = 0
Unit’s digit in (1571)² = 1
Unit’s digit in (1572)² = 4
Unit’s digit in (1573)² = 9
∴  Required unit’s digit
= Unit’s digit in (0 +1 + 4 + 9) = 4

√15876 = 126
The digit at the unit’s place is 6.

Correct Option: B

√15876 = 126
The digit at the unit’s place is 6.

√24010000 = 4900
Again,   √4900 = 70
∴  ⁴√24010000 = 70

Correct Option: D

√24010000 = 4900
Again,   √4900 = 70
∴  ⁴√24010000 = 70

Expression
= √156.25 + √0.0081 − √0.0361
= 12.5 + 0.09 – 0.19 = 12.4

Correct Option: C

Expression
= √156.25 + √0.0081 − √0.0361
= 12.5 + 0.09 – 0.19 = 12.4

33 – 4√35
= 33 – 2 × 2√5 × 7
= 33 – 2 × 2√7 × √5
= 28 + 5 – 2 × 2 √7 × √5
= (2√7)² + (√5)² – 2 × 2 √7 × √5
= (2√7 − √5)²
∴  √33 − 4√35
= √(2√7 − √5)²
= ±(2√7 − √5)

Correct Option: D

33 – 4√35
= 33 – 2 × 2√5 × 7
= 33 – 2 × 2√7 × √5
= 28 + 5 – 2 × 2 √7 × √5
= (2√7)² + (√5)² – 2 × 2 √7 × √5
= (2√7 − √5)²
∴  √33 − 4√35
= √(2√7 − √5)²
= ±(2√7 − √5)