Root of (16*20+8*32)=…

Reading Time: < 1 minute

Last Updated on May 4, 2023

GMAT OFFICIAL GUIDE PS

Solution:

We must first simplify the expression in the square root **before **actually taking the square root. In other words, we have to get the product of 16 and 20 and add it to the product of 8 and 32 before taking the square root.

√[(16)(20) + (8)(32)]

√(320 + 256)

√576 = 24

Answer: B

Note: If struggling with determining the value of √576, we could have used the answer choices to our advantage. We need to ask ourselves what number, when squared, equals 576. Since we should have the value of 25^2 memorized, we would know that 25^2 = 625. Since 576 is slightly less than 625, we can reasonably determine that 24^2 = 576.

Share
Tweet
WhatsApp
Share