Question

Simplify √40×√90=

Answer 1

√40 can we write as √4×√10
√90 can we write as √9×√10
as per our given question, we want to simplify √40×√90 =(√4×√10) ×(√9×√10)
we konw that √4 =2 and √9= 3 substitute these values in the above equation we get,
√40×√90=(2×√10)×(3×√10)
√40×√90 =√10×(2×3) 【here we take √10 in common】
therefore,
√40×√90 = √10×6=6√10
therefore, the simplified form of √40×√90= 6√10